A025779 Expansion of 1/((1-x)*(1-x^5)*(1-x^9)).

1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 6, 6, 6, 7, 8, 9, 9, 9, 10, 11, 12, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 44, 45, 46, 47, 49, 51, 52, 53, 55, 57, 59, 60, 61, 63, 65, 67

Offset

0,6

Comments

Number of partitions of n into parts 1, 5, and 9. - Joerg Arndt, Oct 12 2014

Links

Table of n, a(n) for n=0..70.

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

Mathematica

CoefficientList[Series[1/((1 - x)(1 - x^5)(1 - x^9)), {x, 0, 100}], x] (* Stefan Steinerberger, Apr 08 2006 *)

Prog

(PARI) a(n)=round((3*n^2+45*n+88)/270+(263\4^(n%5)%4)/5) \\ Tani Akinari, Oct 13 2014

Crossrefs

Sequence in context: A080352 A301426 A194222 * A085003 A119026 A064775

Adjacent sequences: A025776 A025777 A025778 * A025780 A025781 A025782

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Stefan Steinerberger, Apr 08 2006

Status

approved