A029024 Expansion of 1/((1-x)(1-x^2)(1-x^7)(1-x^12)).

1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 16, 19, 20, 23, 25, 28, 31, 34, 37, 41, 44, 49, 52, 58, 61, 67, 71, 77, 82, 88, 94, 101, 107, 115, 121, 130, 136, 146, 153, 163, 171, 181, 190, 201, 211, 223, 233, 246

Offset

0,3

Comments

Number of partitions of n into parts 1, 2, 7 and 12. - 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,-1,1,0,1,-1,-1,1,0,0,0,-1,1,1,-1).

Mathematica

CoefficientList[Series[1/((1-x)(1-x^2)(1-x^7)(1-x^12)), {x, 0, 80}], x] (* or *) LinearRecurrence[{1, 1, -1, 0, 0, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 0, 0, -1, 1, 1, -1}, {1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 16, 19, 20, 23, 25, 28, 31}, 80] (* Harvey P. Dale, Nov 20 2018 *)

Crossrefs

Sequence in context: A011881 A366853 A076678 * A328188 A358637 A106244

Adjacent sequences: A029021 A029022 A029023 * A029025 A029026 A029027

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved