A029108 - OEIS

A029108

Expansion of g.f. 1/((1-x)*(1-x^6)*(1-x^7)*(1-x^10)).

1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 21, 23, 25, 26, 29, 31, 33, 35, 38, 40, 43, 46, 49, 51, 55, 58, 62, 65, 69, 72, 76, 80, 85, 89, 94, 98, 103, 107, 113, 118, 124, 129

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OFFSET

0,7

LINKS

Table of n, a(n) for n=0..57.

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

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^6)(1-x^7)(1-x^10)), {x, 0, 70}], x] (* Jinyuan Wang, Mar 18 2020 *)

LinearRecurrence[{1, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1, 0, -1, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 11, 13, 14, 15, 16}, 60] (* Harvey P. Dale, May 26 2025 *)

PROG

(PARI) Vec(1/((1-x)*(1-x^6)*(1-x^7)*(1-x^10))+O(x^58)) \\ Stefano Spezia, May 01 2025

CROSSREFS

Sequence in context: A194198 A189674 A156250 * A350812 A181550 A134841

Adjacent sequences: A029105 A029106 A029107 * A029109 A029110 A029111

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved