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Search: id:A143098
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A143098 First differences of A143097. +0
4
1, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1, 2, 2, -1 (list; graph; listen)
OFFSET

1,2

COMMENT

Binomial transform = A143100: (1, 3, 4, 6, 13, 30, 64,...).

FORMULA

G.f.: x(1+2x-x^2+x^3)/((1-x)(1+x+x^2)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 06 2008]

a(n)=(1/3)*{-2*(n mod 3)+4*[(n+1) mod 3]+[(n+2) mod 3]}-[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Sep 29 2008]

CROSSREFS

Cf. A143097, A143100.

Sequence in context: A166332 A022303 A113189 this_sequence A114284 A023575 A105446

Adjacent sequences: A143095 A143096 A143097 this_sequence A143099 A143100 A143101

KEYWORD

sign

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 24 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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