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User:Daniel Forgues/Contributions/Number triangles
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Contents
In progress (Number triangles)
Number triangle from A078840
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1
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2
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2 | 2
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3
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4
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7 | 3
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5
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6
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8
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19 | 4
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7
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9
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12
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16
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44 | 5
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11
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10
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18
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24
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32
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95 | 6
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13
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14
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20
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36
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48
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64
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195 | 7
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17
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15
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27
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40
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72
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96
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128
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395 | 8
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19
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21
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28
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54
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80
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144
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192
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256
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794 | 9
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23
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22
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30
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56
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108
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160
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288
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384
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512
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1583 | 10
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29
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25
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42
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60
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112
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216
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320
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576
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768
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1024
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3172 | 11
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31
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26
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44
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81
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120
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224
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432
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640
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1152
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1536
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2048
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6334 | 12
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37
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33
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45
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84
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162
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240
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448
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864
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1280
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2304
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3072
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4096
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12665 | 13
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41
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34
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50
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88
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168
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324
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480
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896
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1728
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2560
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4608
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6144
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8192
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25313 | 14
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43
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35
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52
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90
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176
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336
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648
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960
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1792
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3456
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5120
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9216
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12288
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16384
|
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50596 | 15
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47
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38
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63
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100
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180
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352
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672
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1296
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1920
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3584
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6912
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10240
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18432
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24576
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32768
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101180 | 16
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53
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39
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66
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104
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200
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360
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704
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1344
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2592
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3840
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7168
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13824
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20480
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36864
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49152
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65536
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202326
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2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16
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| |
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1
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1*1
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1 | 2
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1*2
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2*1
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4 | 3
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1*3
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1*1+1*2
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3*1
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9 | 4
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1*4
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2*2
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2*1+1*2
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4*1
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16 | 5
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1*5
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1*1+1*3
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1*1+2*2
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3*1+1*2
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5*1
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24 | 6
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1*6
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1*1+1*4
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0
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0
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0
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6*1
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17 | 7
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1*7
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1*2+1*3
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0
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0
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0
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0
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7*1
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19 | 8
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1*8
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1*2+1*4
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0
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0
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0
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0
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0
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8*1
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22 | 9
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1*9
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1*1+1*5
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0
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0
|
0
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0
|
0
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0
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9*1
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24 | 10
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1*10
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2*3
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0
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0
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0
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0
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0
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0
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0
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10*1
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26 | 11
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1*11
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1*1+1*6
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0
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0
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0
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0
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0
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0
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0
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0
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11*1
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29 | 12
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1*12
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1*2+1*6
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0
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0
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0
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0
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0
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0
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0
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0
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0
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12*1
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32 | 13
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1*13
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1*1+1*7
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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13*1
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34 | 14
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1*14
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1*3+1*4
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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14*1
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35 | 15
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1*15
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1*1+1*8
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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15*1
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39 | 16
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1*16
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1*2+1*6
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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16*1
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40
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2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16
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Right to left diagonals
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Products of
|
A-number | ||
---|---|---|---|---|
1 | {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, ...}
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A000040 | ||
2 | {4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34, 35, 38, 39, 46, 49, 51, 55, 57, 58, 62, 65, 69, 74, 77, 82, 85, 86, 87, 91, 93, 94, 95, 106, 111, 115, 118, 119, 121, 122, 123, 129, ...}
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A001358 | ||
3 | {8, 12, 18, 20, 27, 28, 30, 42, 44, 45, 50, 52, 63, 66, 68, 70, 75, 76, 78, 92, 98, 99, 102, 105, 110, 114, 116, 117, 124, 125, 130, 138, 147, 148, 153, 154, 164, 165, 170, ...}
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A014612 | ||
4 | {16, 24, 36, 40, 54, 56, 60, 81, 84, 88, 90, 100, 104, 126, 132, 135, 136, 140, 150, 152, 156, 184, 189, 196, 198, 204, 210, 220, 225, 228, 232, 234, 248, 250, 260, 276, 294, ...}
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A014613 | ||
5 | {32, 48, 72, 80, 108, 112, 120, 162, 168, 176, 180, 200, 208, 243, 252, 264, 270, 272, 280, 300, 304, 312, 368, 378, 392, 396, 405, 408, 420, 440, 450, 456, 464, 468, 496, ...}
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A014614 | ||
6 | {64, 96, 144, 160, 216, 224, 240, 324, 336, 352, 360, 400, 416, 486, 504, 528, 540, 544, 560, 600, 608, 624, 729, 736, 756, 784, 792, 810, 816, 840, 880, 900, 912, 928, 936, ...}
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A046306 | ||
7 | {128, 192, 288, 320, 432, 448, 480, 648, 672, 704, 720, 800, 832, 972, 1008, 1056, 1080, 1088, 1120, 1200, 1216, 1248, 1458, 1472, 1512, 1568, 1584, 1620, 1632, 1680, 1760, ...}
|
A046308 | ||
8 | {256, 384, 576, 640, 864, 896, 960, 1296, 1344, 1408, 1440, 1600, 1664, 1944, 2016, 2112, 2160, 2176, 2240, 2400, 2432, 2496, 2916, 2944, 3024, 3136, 3168, 3240, 3264, 3360, ...}
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A046310 |
Left to right diagonals
|
|
A-number | GF | |||
---|---|---|---|---|---|---|
1 | {2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, ...}
|
A000079 |
| |||
2 | {3, 6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144, 12288, 24576, 49152, 98304, 196608, 393216, 786432, 1572864, 3145728, 6291456, 12582912, 25165824, 50331648, ...}
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A007283 |
| |||
3 | {5, 9, 18, 36, 72, 144, 288, 576, 1152, 2304, 4608, 9216, 18432, 36864, 73728, 147456, 294912, 589824, 1179648, 2359296, 4718592, 9437184, 18874368, 37748736, 75497472, ...}
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A116453 |
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4 | {7, 10, 20, 40, 80, 160, 320, 640, 1280, 2560, 5120, 10240, 20480, ...}
|
A?????? |
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5 | {11, 14, 27, 54, 108, 216, 432, 864, 1728, 3456, 6912, 13824, ...}
|
A?????? |
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6 | {13, 15, 28, 56, 112, 224, 448, 896, 1792, 3584, 7168, ...}
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A?????? |
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7 | {17, 21, 30, 60, 120, 240, 480, 960, 1920, 3840, ...}
|
A?????? |
| |||
8 | {19, 22, 42, 81, 162, 324, 648, 1296, 2592, ...}
|
A?????? |
|
n |
n |
- {0, 0, 1, 4, 8, 11, 13, 16, 21, 32, 29, 40, 47, 48, 55, 60, 69, 71, 79, 85, 88, 96, 101, 109, 120, 125, 124, 129, 132, 139, 163, 169, 180, 183, 192, 191, 199, 208, 215, 225, ...}
Central elements of odd-indexed rows
A101695a (n) = |
n |
n |
- {2, 6, 18, 40, 108, 224, 480, 1296, 2688, 5632, 11520, 25600, 53248, 124416, 258048, 540672, 1105920, 2228224, 4587520, 9830400, 19922944, 40894464, 95551488, 192937984, 396361728, 822083584, 1660944384, 3397386240, 6845104128, ...}