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Search: id:A081910
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A081910 4^n(n^2-n+32)/32. +0
4
1, 4, 17, 76, 352, 1664, 7936, 37888, 180224, 851968, 3997696, 18612224, 85983232, 394264576, 1795162112, 8120172544, 36507222016, 163208757248, 725849473024, 3212635537408, 14156212207616, 62122406969344, 271579372060672 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of A081909 4th binomial transform of (1,0,1,0,0,0,......). Case k=4 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)=4^n(n^2-n+32)/32 G.f.: (1-8x+17x^2)/(1-4x)^3

CROSSREFS

Cf. A081911.

Sequence in context: A026378 A151247 A117439 this_sequence A026773 A081186 A005572

Adjacent sequences: A081907 A081908 A081909 this_sequence A081911 A081912 A081913

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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