A029027 - OEIS

A029027

Expansion of 1/((1-x)(1-x^2)(1-x^9)(1-x^10)).

1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 8, 9, 11, 12, 14, 15, 17, 18, 21, 23, 27, 29, 33, 35, 39, 41, 45, 48, 53, 57, 63, 67, 73, 77, 83, 87, 94, 99, 107, 113, 122, 128, 137, 143, 152, 159, 169, 177, 188, 197, 209, 218, 230, 239

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OFFSET

0,3

COMMENTS

Number of partitions of n into parts 1, 2, 9 and 10. - Ilya Gutkovskiy, May 14 2017

LINKS

Table of n, a(n) for n=0..53.

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

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^2)(1-x^9)(1-x^10)), {x, 0, 80}], x] (* or *) LinearRecurrence[{1, 1, -1, 0, 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, -1, 1, 1, -1}, {1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 8, 9, 11, 12, 14, 15, 17, 18, 21, 23, 27, 29}, 80] (* Harvey P. Dale, Nov 30 2023 *)

CROSSREFS

Sequence in context: A240572 A029072 A279766 * A035448 A060969 A367694

Adjacent sequences: A029024 A029025 A029026 * A029028 A029029 A029030

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved