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A112690 Expansion of 1/(1+x^2-x^3-x^5). +0
2
0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1 (list; graph; listen)
OFFSET

0,1

COMMENT

Partial sums are A112689.

FORMULA

G.f.: 1/((1+x^2)(1-x^3)); a(n)=sum{k=0..n, sum{j=0..floor((k+1)/2)), (-1)^(k-j)*C(k-j+1, j-1)}}.

a(n+12) = a(n) = 1/6 + A057077(n+1)/2 + A061347(n+1)/3. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 23 2009]

CROSSREFS

Sequence in context: A144612 A157412 A023532 this_sequence A115971 A072165 A072608

Adjacent sequences: A112687 A112688 A112689 this_sequence A112691 A112692 A112693

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 15 2005

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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.


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