login

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”).

A029200
Expansion of 1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^9)).
1
1, 0, 1, 0, 1, 1, 1, 2, 1, 3, 2, 3, 3, 3, 5, 4, 6, 5, 7, 7, 8, 9, 9, 11, 11, 13, 13, 15, 16, 17, 19, 19, 22, 22, 25, 26, 28, 30, 31, 34, 35, 38, 40, 42, 45, 47, 50, 52, 55, 58, 61, 64, 67, 70, 74, 77, 81, 84, 88, 92, 96, 100
OFFSET
0,8
COMMENTS
Number of partitions of n into parts 2, 5, 7, and 9. - Joerg Arndt, Jun 02 2014
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,1,0,0,1,0,0,0,0,0,-1,-1,0,0,0,0,0,1,0,0,1,0,-1).
MATHEMATICA
CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^7) (1 - x^9)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)
PROG
(PARI) Vec(1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^9)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020
CROSSREFS
Sequence in context: A369793 A253281 A029206 * A317243 A051274 A267806
KEYWORD
nonn,easy
STATUS
approved