A029119 - OEIS

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A029119

Expansion of 1/((1-x)(1-x^7)(1-x^8)(1-x^11)).

1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 5, 6, 7, 7, 8, 9, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 22, 23, 25, 27, 28, 30, 32, 34, 36, 38, 41, 43, 45, 48, 51, 53, 56, 59, 62, 65, 68, 72, 75, 78, 82, 86, 90, 94, 98, 102, 106

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,8

LINKS

Table of n, a(n) for n=0..60.

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

FORMULA

From Wesley Ivan Hurt, Jan 27 2022: (Start)

G.f.: 1/((1-x)(1-x^7)(1-x^8)(1-x^11)).

a(n) = a(n-1)+a(n-7)-a(n-9)+a(n-11)-a(n-12)-a(n-15)+a(n-16)-a(n-18)+a(n-20)+a(n-26)-a(n-27). (End)

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^7)(1-x^8)(1-x^11)), {x, 0, 70}], x] (* Harvey P. Dale, Mar 20 2011 *)

PROG

(PARI) Vec(1/((1-x)*(1-x^7)*(1-x^8)*(1-x^11)) + O(x^99)) \\ Jinyuan Wang, Mar 18 2020

CROSSREFS

Sequence in context: A354779 A334220 A234016 * A178042 A308950 A193832

Adjacent sequences: A029116 A029117 A029118 * A029120 A029121 A029122

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved