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A117066 Partial sums of cupolar numbers (1/3)*(n+1)*(5*n^2+7*n+3) A096000. +0
1
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)
OFFSET

1,2

FORMULA

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.

CROSSREFS

Cf. A005902, A096000.

Sequence in context: A138362 A072372 A024530 this_sequence A042984 A008780 A101992

Adjacent sequences: A117063 A117064 A117065 this_sequence A117067 A117068 A117069

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), Apr 17 2006

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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