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Search: id:A101861
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| A101861 |
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5th partial summation within series as series accumulate n times from an initial sequence of Euler Triangle's row 4: 1,11,11,1. |
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+0
1
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| 24, 84, 194, 369, 625, 979, 1449, 2054, 2814, 3750, 4884, 6239, 7839, 9709, 11875, 14364, 17204, 20424, 24054, 28125, 32669, 37719, 43309, 49474, 56250, 63674, 71784, 80619, 90219, 100625, 111879, 124024, 137104, 151164, 166250, 182409
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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C. Rossiter, Depictions, Explorations and Formulas of the Euler/Pascal Cube.
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FORMULA
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a(1)=1; a(n) = (125*n)/12 + (275*n^2)/24 + (25*n^3)/12 + n^4/24
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EXAMPLE
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n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ...
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
0 24 84 194 369 625 979 1449 2054 2814 3750 <- 5th
0 24 108 302 671 1296 2275 3724 5778 8592 12342
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
... ... ... ... ... ... ... ... ... ...
of each of the series
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CROSSREFS
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Sequence in context: A030622 A063456 A045946 this_sequence A007201 A044211 A044592
Adjacent sequences: A101858 A101859 A101860 this_sequence A101862 A101863 A101864
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KEYWORD
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easy,nonn,uned
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AUTHOR
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Cecilia Rossiter (cecilia(AT)noticingnumbers.net), Dec 18 2004
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