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Search: id:A101860
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| A101860 |
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4th in sequence then 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. |
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+0
1
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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; listen)
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OFFSET
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1,2
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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)=0; a(n) = 1 + (101*n)/6 + 6*n^2 + n^3/6
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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 <- 4th
0 24 84 194 369 625 979 1449 2054 2814 3750
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: A043978 A044126 A044507 this_sequence A052759 A045558 A022761
Adjacent sequences: A101857 A101858 A101859 this_sequence A101861 A101862 A101863
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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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