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A143098 First differences of A143097. 3
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; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..72.

FORMULA

G.f.: x(1+2x-x^2+x^3)/((1-x)(1+x+x^2)). [From R. J. Mathar, 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, Sep 29 2008]

CROSSREFS

Cf. A143097, A143100.

Sequence in context: A166332 A022303 A113189 * A225515 A265404 A274353

Adjacent sequences:  A143095 A143096 A143097 * A143099 A143100 A143101

KEYWORD

sign

AUTHOR

Gary W. Adamson, Jul 24 2008

STATUS

approved

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Last modified January 20 11:11 EST 2020. Contains 331083 sequences. (Running on oeis4.)