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A029022 Expansion of 1/((1-x)(1-x^2)(1-x^7)(1-x^10)). 0
1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 10, 12, 13, 16, 17, 20, 22, 25, 27, 31, 34, 38, 41, 46, 49, 54, 58, 64, 68, 75, 80, 87, 92, 100, 106, 114, 121, 130, 137, 147, 155, 166, 174, 186, 195, 207, 217, 230, 241, 255, 267, 282 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of partitions of n into parts 1, 2, 7 and 10. - Ilya Gutkovskiy, May 14 2017

LINKS

Table of n, a(n) for n=0..52.

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

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^2)(1-x^7)(1-x^10)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 1, -1, 0, 0, 0, 1, -1, -1, 2, -1, -1, 1, 0, 0, 0, -1, 1, 1, -1}, {1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 10, 12, 13, 16, 17, 20, 22, 25, 27}, 60] (* Harvey P. Dale, May 27 2018 *)

CROSSREFS

Sequence in context: A120171 A145816 A027583 * A140953 A112021 A000607

Adjacent sequences:  A029019 A029020 A029021 * A029023 A029024 A029025

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 22 01:16 EDT 2018. Contains 305646 sequences. (Running on oeis4.)