A029053 Expansion of 1/((1-x)(1-x^3)(1-x^7)(1-x^12)).

1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 6, 8, 9, 10, 12, 13, 14, 16, 18, 19, 22, 24, 25, 29, 31, 33, 37, 40, 42, 46, 50, 52, 57, 61, 64, 70, 74, 78, 84, 89, 93, 100, 106, 110, 118, 124, 129, 138, 145, 151, 160, 168, 174, 184, 193, 200, 211, 220, 228, 240

Offset

0,4

Comments

Number of partitions of n into parts 1, 3, 7, and 12. - Joerg Arndt, May 22 2014

Links

Table of n, a(n) for n=0..60.

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

Mathematica

CoefficientList[Series[1/((1-x)(1-x^3)(1-x^7)(1-x^12)), {x, 0, 60}], x] (* Harvey P. Dale, Jul 12 2012 *)

Prog

(PARI) a(n)=floor((2*n^3+69*n^2+692*n+3220)/3024+((n\3+1)*[1, 1, -2]/36+[25, 11, -42]/216)[n%3+1]) \\ Tani Akinari, May 21 2014

Crossrefs

Sequence in context: A000929 A325358 A029146 * A053254 A067357 A051059

Adjacent sequences: A029050 A029051 A029052 * A029054 A029055 A029056

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 1999

Status

approved