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Search: id:A101862
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| A101862 |
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6th 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, 108, 302, 671, 1296, 2275, 3724, 5778, 8592, 12342, 17226, 23465, 31304, 41013, 52888, 67252, 84456, 104880, 128934, 157059, 189728, 227447, 270756, 320230, 376480, 440154, 511938, 592557, 682776, 783401, 895280, 1019304, 1156408
(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) = (427*n)/60 + (275*n^2)/24 + (39*n^3)/8 + (13*n^4)/24 + n^5/120
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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
0 24 108 302 671 1296 2275 3724 5778 8592 12342 <- 6th
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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Adjacent sequences: A101859 A101860 A101861 this_sequence A101863 A101864 A101865
Sequence in context: A013980 A100150 A060334 this_sequence A103473 A064595 A064591
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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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