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A143098
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First differences of A143097.
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3
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Binomial transform = A143100: (1, 3, 4, 6, 13, 30, 64,...).
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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 (paoloplava(AT)gmail.com), Sep 29 2008]
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CROSSREFS
| Cf. A143097, A143100.
Sequence in context: A166332 A022303 A113189 * A183028 A114284 A023575
Adjacent sequences: A143095 A143096 A143097 * A143099 A143100 A143101
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KEYWORD
| sign
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 24 2008
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