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Search: id:A086954
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A086954 Binomial transform of A061800. +0
1
1, 1, 4, 14, 38, 92, 214, 490, 1108, 2474, 5462, 11948, 25942, 55978, 120148, 256682, 546134, 1157804, 2446678, 5155498, 10835284, 22719146, 47535446, 99265196, 206918998, 430615210, 894784852, 1856678570, 3847574870, 7963585196 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n)=0^n+n2^(n-1)+sum{k=0..floor((n-1)/3) C(n-1, 3k+2) }

O.g.f.: (1-x)(1-3x+5x^2)/[(1-x+x^2)(-1+2x)^2]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008

CROSSREFS

Sequence in context: A126943 A036368 A006071 this_sequence A111583 A124615 A114845

Adjacent sequences: A086951 A086952 A086953 this_sequence A086955 A086956 A086957

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 25 2003

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Last modified December 4 12:48 EST 2009. Contains 170310 sequences.


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