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A083669 Number of ordered quintuples (a,b,c,d,e), -n<= a,b,c,d,e<=n, such that a+b+c+d+e=0. +0
1
1, 51, 381, 1451, 3951, 8801, 17151, 30381, 50101, 78151, 116601, 167751, 234131, 318501, 423851, 553401, 710601, 899131, 1122901, 1386051, 1692951, 2048201, 2456631, 2923301, 3453501, 4052751, 4726801, 5481631, 6323451, 7258701 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=115/12*n^4+115/6*n^3+185/12*n^2+35/6*n+1

PROGRAM

(PARI) a(n)=115/12*n^4+115/6*n^3+185/12*n^2+35/6*n+1

CROSSREFS

Cf. A003215, A063496.

Sequence in context: A007264 A107253 A030535 this_sequence A128511 A020278 A017767

Adjacent sequences: A083666 A083667 A083668 this_sequence A083670 A083671 A083672

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 14 2003

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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