A029036 Expansion of 1/((1-x)(1-x^3)(1-x^4)(1-x^10)).

1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 9, 10, 12, 14, 16, 18, 21, 23, 26, 29, 33, 36, 40, 44, 49, 53, 58, 63, 69, 74, 81, 87, 94, 101, 109, 116, 125, 133, 142, 151, 162, 171, 182, 193, 205, 216, 229, 241, 255, 268, 283, 297, 313

Offset

0,4

Comments

Number of partitions of n into parts 1, 3, 4 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 (1,0,1,0,-1,0,-1,1,0,1,-1,0,-1,0,1,0,1,-1).

Mathematica

CoefficientList[Series[1/((1-x)(1-x^3)(1-x^4)(1-x^10)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 0, 1, 0, -1, 0, -1, 1, 0, 1, -1, 0, -1, 0, 1, 0, 1, -1}, {1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 9, 10, 12, 14, 16, 18, 21, 23}, 60] (* Harvey P. Dale, Oct 06 2017 *)

Crossrefs

Sequence in context: A017875 A039732 A011876 * A192530 A281744 A026838

Adjacent sequences: A029033 A029034 A029035 * A029037 A029038 A029039

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved