A029093 Expansion of 1/((1-x)(1-x^5)(1-x^7)(1-x^10)).

1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 5, 5, 6, 6, 7, 9, 9, 11, 11, 12, 15, 16, 18, 18, 20, 23, 24, 27, 28, 30, 34, 36, 39, 40, 43, 48, 50, 54, 56, 59, 65, 68, 73, 75, 79, 86, 89, 95, 98, 103, 111, 115, 122, 125, 131, 140, 145, 153

Offset

0,6

Comments

Number of partitions of n into parts 1, 5, 7 and 10. - Ilya Gutkovskiy, May 21 2017

Links

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

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

Mathematica

CoefficientList[Series[1/((1-x)(1-x^5)(1-x^7)(1-x^10)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 1, -1, 1, -1, 0, 1, -1, -1, 1, 0, -1, 1, -1, 1, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 5, 5, 6, 6, 7, 9, 9, 11, 11, 12, 15, 16, 18}, 60] (* Harvey P. Dale, Jan 02 2017 *)

Crossrefs

Sequence in context: A202503 A049747 A260684 * A369788 A301541 A240519

Adjacent sequences: A029090 A029091 A029092 * A029094 A029095 A029096

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved