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A111927 Expansion of x^3/((x-1)*(2*x-1)*(x^2-x+1)). +0
3
0, 0, 0, 1, 4, 10, 21, 42, 84, 169, 340, 682, 1365, 2730, 5460, 10921, 21844, 43690, 87381, 174762, 349524, 699049, 1398100, 2796202, 5592405, 11184810, 22369620, 44739241, 89478484, 178956970, 357913941, 715827882, 1431655764, 2863311529 (list; graph; listen)
OFFSET

0,5

COMMENT

Binomial transform of sequence (0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0). Note: the binomial transform of the sequence (0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0) is A111926; the binomial transform of the sequence (0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0) is A024495 (disregarding first two terms, which are both zero).

FORMULA

a(n+2) - a(n+1) + a(n) = A000225(n);

MAPLE

seq(sum(binomial(n, k*3), k=1..n), n=0..33); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com)), Oct 23 2007

CROSSREFS

Cf. A000295, A111926, A024495.

Adjacent sequences: A111924 A111925 A111926 this_sequence A111928 A111929 A111930

Sequence in context: A121497 A132925 A053643 this_sequence A109885 A054211 A112770

KEYWORD

easy,nonn

AUTHOR

Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Aug 21 2005

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.


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