A029146 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A029146

Expansion of 1/((1-x^2)(1-x^3)(1-x^5)(1-x^9)).

1, 0, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 6, 8, 9, 9, 11, 13, 13, 16, 17, 18, 21, 23, 24, 27, 30, 31, 35, 38, 39, 44, 47, 49, 54, 58, 60, 66, 70, 73, 79, 84, 87, 94, 100, 103, 111, 117, 121, 130, 136, 141, 150, 158, 163, 173, 181, 187, 198, 207, 213, 225, 235, 242, 255, 265, 273, 287, 298, 307, 321, 334

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,6

COMMENTS

Number of partitions of n into parts 2, 3, 5, and 9. - Joerg Arndt, Aug 16 2013

LINKS

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

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

MATHEMATICA

CoefficientList[Series[1 / ((1 - x^2) (1 - x^3) (1 - x^5) (1 - x^9)), {x, 0, 80}], x] (* Vincenzo Librandi, Aug 17 2013 *)

PROG

(PARI) a(n)=round((n\3+1)*(-2)^(n%3%2)/27+(n%5<2)*(-1)^(n%5)/5+(2*n+19)*(2*n^2+38*n+121)/6480) \\ Tani Akinari, Aug 15 2013

(PARI) Vec( 1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^9)) + O(x^66) ) \\ Joerg Arndt, Aug 16 2013

CROSSREFS

Sequence in context: A025768 A000929 A325358 * A029053 A053254 A067357

Adjacent sequences: A029143 A029144 A029145 * A029147 A029148 A029149

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved