A029387 - OEIS

A029387

Expansion of g.f. 1/((1 - x^5)*(1 - x^6)*(1 - x^9)*(1 - x^10)).

1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 3, 2, 1, 2, 2, 4, 3, 2, 2, 4, 5, 4, 4, 4, 5, 8, 5, 5, 6, 7, 9, 9, 7, 8, 10, 12, 10, 11, 10, 12, 16, 14, 13, 15, 15, 19, 18, 17, 17, 21, 23, 22, 22, 22, 24, 30, 26, 26, 28, 30, 34, 34

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OFFSET

0,11

COMMENTS

a(n) is the number of partitions of n into parts 5, 6, 9, and 10. - Stefano Spezia, Jun 14 2023

LINKS

Table of n, a(n) for n=0..66.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1,1,0,0,1,1,-1,0,0,-1,-2,-1,0,0,-1,1,1,0,0,1,1,0,0,0,0,-1).

MATHEMATICA

CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^9)(1-x^10)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)

LinearRecurrence[{0, 0, 0, 0, 1, 1, 0, 0, 1, 1, -1, 0, 0, -1, -2, -1, 0, 0, -1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 3, 2, 1, 2, 2, 4, 3, 2, 2, 4, 5, 4, 4, 4, 5}, 80] (* Harvey P. Dale, Jun 20 2024 *)

CROSSREFS

Sequence in context: A158511 A092921 A191607 * A070878 A228128 A060959

Adjacent sequences: A029384 A029385 A029386 * A029388 A029389 A029390

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved