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Search: id:A112030
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A112030 (2 + (-1)^n) * (-1)^floor(n/2). +0
8
3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1, -3, -1, 3, 1 (list; graph; listen)
OFFSET

0,1

COMMENT

a(n) = A010684(n+1) * (-1)^floor(n/2);

the fractions A112031(n)/A112032(n) give the partial sums of a(n)/floor((n+4)/2).

FORMULA

O.g.f.: (3+x)/(1+x^2) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 09 2008

CROSSREFS

Cf. A016116, A112033.

Sequence in context: A066056 A153284 A010684 this_sequence A125768 A111742 A104740

Adjacent sequences: A112027 A112028 A112029 this_sequence A112031 A112032 A112033

KEYWORD

sign

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 27 2005

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


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