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Search: id:A081911
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A081911 5^n(n^2-n+50)/50. +0
4
1, 5, 26, 140, 775, 4375, 25000, 143750, 828125, 4765625, 27343750, 156250000, 888671875, 5029296875, 28320312500, 158691406250, 885009765625, 4913330078125, 27160644531250, 149536132812500, 820159912109375 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of A081910 5th binomial transform of (1,0,1,0,0,0,.....). Case k=5 where a(n,k)=k^n(n^2-n+2k^2)/(2k^2) with G.f. (1-2kx+(k^2+1)x^2)/(1-kx)^3

FORMULA

a(n)=5^n(n^2-n+50)/50 G.f.: (1-10x+26x^2)/(1-5x)^3

CROSSREFS

Cf. A081912.

Sequence in context: A035029 A081569 A005573 this_sequence A081187 A104498 A045379

Adjacent sequences: A081908 A081909 A081910 this_sequence A081912 A081913 A081914

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 31 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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