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A077889 Expansion of (1-x)^(-1)/(1+x^2+x^3). 3
1, 1, 0, -1, 0, 2, 2, -1, -3, 0, 5, 4, -4, -8, 1, 13, 8, -13, -20, 6, 34, 15, -39, -48, 25, 88, 24, -112, -111, 89, 224, 23, -312, -246, 290, 559, -43, -848, -515, 892, 1364, -376, -2255, -987, 2632, 3243, -1644, -5874, -1598, 7519, 7473, -5920, -14991, -1552, 20912, 16544, -19359, -37455, 2816, 56815 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

The Gi1 sums, see A180662 for the definition of these sums, of triangle A101950 equal the terms of this sequence. [Johannes W. Meijer, Aug 06 2011]

LINKS

Table of n, a(n) for n=0..59.

Index entries for linear recurrences with constant coefficients, signature (1,-1,0,1).

MAPLE

A101950 := proc(n, k) local j, k1: add((-1)^((n-j)/2)*binomial((n+j)/2, j)*(1+(-1)^(n+j))* binomial(j, k)/2, j=0..n) end: A077889 := proc(n): add(A101950(n-3*k, k), k=0..floor(n/4)) end: seq(A077889(n), n=0..59); # [Johannes W. Meijer, Aug 06 2011]

MATHEMATICA

CoefficientList[Series[(1-x)^(-1)/(1+x^2+x^3), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, -1, 0, 1}, {1, 1, 0, -1}, 60] (* Harvey P. Dale, Jul 14 2017 *)

CROSSREFS

Sequence in context: A117046 A268192 A077653 * A305805 A230260 A193262

Adjacent sequences:  A077886 A077887 A077888 * A077890 A077891 A077892

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane, Nov 17 2002

STATUS

approved

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Last modified November 14 09:49 EST 2018. Contains 317182 sequences. (Running on oeis4.)