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A078050 Expansion of (1-x)/(1+x+2*x^2). 8
1, -2, 0, 4, -4, -4, 12, -4, -20, 28, 12, -68, 44, 92, -180, -4, 364, -356, -372, 1084, -340, -1828, 2508, 1148, -6164, 3868, 8460, -16196, -724, 33116, -31668, -34564, 97900, -28772, -167028, 224572, 109484, -558628, 339660, 777596, -1456916, -98276, 3012108, -2815556, -3208660, 8839772 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

INVERTi transform of A005408, (2n + 1) = A078050 signed: (1, 2, 0, -4, -4, 4, 12, 4, -20, -28,...) = left border of triangle A144106. [From Gary W. Adamson, Sep 11 2008]

LINKS

Table of n, a(n) for n=0..45.

Index entries for linear recurrences with constant coefficients, signature (-1,-2).

FORMULA

a(n-1) = sum(k=1..n, (sum(i=0..n, binomial(k,n-i) * binomial(k+i-1,2*k-1))) * (-1)^(n-k)). [Vladimir Kruchinin, Mar 11 2013]

PROG

(PARI) Vec((1-x)/(1+x+2*x^2)+O(x^99)) \\ Charles R Greathouse IV, Sep 23 2012

CROSSREFS

A005408, A144106 [From Gary W. Adamson, Sep 11 2008],

A208904

Sequence in context: A200291 A049797 A116578 * A134271 A094403 A244340

Adjacent sequences:  A078047 A078048 A078049 * A078051 A078052 A078053

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane, Nov 17 2002

STATUS

approved

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Last modified November 18 17:33 EST 2019. Contains 329287 sequences. (Running on oeis4.)