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A101860
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(3+n)*(2+33*n+n^2)/6.
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3
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1, 24, 60, 110, 175, 256, 354, 470, 605, 760, 936, 1134, 1355, 1600, 1870, 2166, 2489, 2840, 3220, 3630, 4071, 4544, 5050, 5590, 6165, 6776, 7424, 8110, 8835, 9600, 10406, 11254, 12145, 13080, 14060, 15086, 16159, 17280, 18450, 19670, 20941
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The 4th partial summation within series as series accumulate n times from an initial sequence of Euler Triangle's row 4: 1,11,11,1.
The partial sums of A101859 (plus a leading 1). 4th row in the array shown in the examples. The 2nd column is A101104, the 3rd column is A101103, the 4th column is A005914.
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LINKS
| C. Rossiter, Depictions, Explorations and Formulas of the Euler/Pascal Cube.
Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
| G.f. ( 1+20*x-30*x^2+10*x^3 ) / (x-1)^4 . - R. J. Mathar, Dec 06 201
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EXAMPLE
| Array with first column equal to the 4th row of A008292, and column k defined by partial sums of the preceding column k-1:
1 1 1 1 1 1 1 1 1 1 1
11 12 13 14 15 16 17 18 19 20 21
11 23 36 50 65 81 98 116 135 155 176
1 24 60 110 175 256 354 470 605 760 936 A101860
0 24 84 194 369 625 979 1449 2054 2814 3750 A101861
0 24 108 302 671 1296 2275 3724 5778 8592 12342 A101862
0 24 132 434 1105 2401 4676 8400 14178 22770 35112
0 24 156 590 1695 4096 8772 17172 31350 54120 89232
0 24 180 770 2465 6561 15333 32505 63855 117975 207207
... ... ... ... ... ... ... ... ... ...
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CROSSREFS
| Sequence in context: A190104 A044126 A044507 * A163636 A185445 A052759
Adjacent sequences: A101857 A101858 A101859 * A101861 A101862 A101863
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KEYWORD
| easy,nonn
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AUTHOR
| Cecilia Rossiter (cecilia(AT)noticingnumbers.net), Dec 18 2004
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