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Search: id:A083327
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A083327 An alternating sum of decreasing powers. +0
2
0, 1, 7, 40, 217, 1156, 6097, 31900, 165697, 855076, 4387537, 22404460, 113945377, 577590196, 2919923377, 14729076220, 74167952257, 372944296516, 1873182473617, 9399885079180, 47135702874337, 236224784974036 (list; graph; listen)
OFFSET

0,3

COMMENT

Binomial transform of A053154 (with leading zero).

FORMULA

a(n)=(5^n-4^n+3^n-2^n)/2 G.f. x(1-7x+13x^2)/((1-2x)(1-3x)(1-4x)(1-5x)) E.g.f. exp(5x)-exp(4x)+exp(3x)-exp(2x)

CROSSREFS

Cf. A083328.

Sequence in context: A055282 A093737 A081039 this_sequence A026716 A026782 A099459

Adjacent sequences: A083324 A083325 A083326 this_sequence A083328 A083329 A083330

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 27 2003

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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