A029095 Expansion of 1/((1-x)*(1-x^5)*(1-x^7)*(1-x^12)).

1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 6, 6, 7, 8, 8, 10, 10, 12, 13, 14, 16, 16, 19, 20, 22, 24, 25, 28, 29, 32, 34, 36, 39, 41, 45, 47, 50, 53, 56, 60, 63, 67, 70, 74, 78, 82, 87, 91, 96, 100, 105, 110, 115, 121, 126, 132

Offset

0,6

Comments

Number of partitions of n into parts 1, 5, 7 and 12. - Ilya Gutkovskiy, May 21 2017

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

Formula

G.f.: 1/((1-x)*(1-x^5)*(1-x^7)*(1-x^12)).

Mathematica

CoefficientList[Series[1/((1 - x) (1 - x^5) (1 - x^7) (1 - x^12)), {x, 0, 80}], x] (* Vincenzo Librandi, May 24 2017 *)

Crossrefs

Cf. A025886 (first differences). [R. J. Mathar, Oct 23 2008]

Sequence in context: A145707 A145703 A334231 * A212295 A194315 A288577

Adjacent sequences: A029092 A029093 A029094 * A029096 A029097 A029098

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved