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A287869
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Wythoff array with one extra column, read by antidiagonals downwards.
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3
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1, 1, 3, 2, 4, 4, 3, 7, 6, 6, 5, 11, 10, 9, 8, 8, 18, 16, 15, 12, 9, 13, 29, 26, 24, 20, 14, 11, 21, 47, 42, 39, 32, 23, 17, 12, 34, 76, 68, 63, 52, 37, 28, 19, 14, 55, 123, 110, 102, 84, 60, 45, 31, 22, 16, 89, 199, 178, 165, 136, 97, 73, 50, 36, 25, 17
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OFFSET
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1,3
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REFERENCES
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Conway, John; Ryba, Alex; The extra Fibonacci series and the Empire State Building. Math. Intelligencer 38 (2016), no. 1, 41-48.
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LINKS
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EXAMPLE
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The extended Wythoff array is the Wythoff array with two extra columns, giving the row number n and A000201(n), separated from the main array by a vertical bar:
0 1 | 1 2 3 5 8 13 21 34 55 89 144 ...
1 3 | 4 7 11 18 29 47 76 123 199 322 521 ...
2 4 | 6 10 16 26 42 68 110 178 288 466 754 ...
3 6 | 9 15 24 39 63 102 165 267 432 699 1131 ...
4 8 | 12 20 32 52 84 136 220 356 576 932 1508 ...
5 9 | 14 23 37 60 97 157 254 411 665 1076 1741 ...
6 11 | 17 28 45 73 118 191 309 500 809 1309 2118 ...
7 12 | 19 31 50 81 131 212 343 555 898 1453 2351 ...
8 14 | 22 36 58 94 152 246 398 644 1042 1686 2728 ...
9 16 | 25 41 66 107 173 280 453 733 1186 1919 3105 ...
10 17 | 27 44 71 115 186 301 487 788 1275 2063 3338 ...
11 19 | 30 49 79 ...
12 21 | 33 54 87 ...
13 22 | 35 57 92 ...
14 24 | 38 62 ...
15 25 | 40 65 ...
16 27 | 43 70 ...
17 29 | 46 75 ...
18 30 | 48 78 ...
19 32 | 51 83 ...
20 33 | 53 86 ...
21 35 | 56 91 ...
22 37 | 59 96 ...
23 38 | 61 99 ...
24 40 | 64 ...
25 42 | 67 ...
26 43 | 69 ...
27 45 | 72 ...
28 46 | 74 ...
29 48 | 77 ...
30 50 | 80 ...
31 51 | 82 ...
32 53 | 85 ...
33 55 | 88 ...
34 56 | 90 ...
35 58 | 93 ...
36 59 | 95 ...
37 61 | 98 ...
38 63 | ...
...
The present sequence presents the array with just the rightmost extra column.
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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