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Search: id:A117066
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| A117066 |
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Partial sums of cupolar numbers (1/3)*(n+1)*(5*n^2+7*n+3) A096000. |
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+0
1
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| 1, 11, 48, 140, 325, 651, 1176, 1968, 3105, 4675, 6776, 9516, 13013, 17395, 22800, 29376, 37281, 46683, 57760, 70700, 85701, 102971, 122728, 145200, 170625, 199251, 231336, 267148, 306965, 351075
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = SUM[i=1..n] A096000(i). a(n) = SUM[i=1..n] (1/3)*(i+1)*(5*i^2+7*i+3). a(n) = SUM[i=1..n] (1/2)*(Q(i) + 3*i^2 + 3*i + 1), where Q(i) are the cuboctahedral numbers, A005902.
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MAPLE
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a:=n->sum ((n+j)^3, j=0..n): seq(a(n)/9, n=1..37); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 17 2008]
with(finance):seq(add(cashflows([n^3, k^3, 0], 0 )/3, k=0..n), n=1..45); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 22 2008]
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CROSSREFS
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Cf. A005902, A096000.
Sequence in context: A138362 A072372 A024530 this_sequence A042984 A008780 A101992
Adjacent sequences: A117063 A117064 A117065 this_sequence A117067 A117068 A117069
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 17 2006
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