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”).

A029293
Expansion of 1/((1-x^3)(1-x^6)(1-x^7)(1-x^9)).
1
1, 0, 0, 1, 0, 0, 2, 1, 0, 3, 1, 0, 4, 2, 1, 5, 3, 1, 7, 4, 2, 9, 5, 3, 11, 7, 4, 14, 9, 5, 17, 11, 7, 20, 14, 9, 24, 17, 11, 28, 20, 14, 33, 24, 17, 38, 28, 20, 44, 33, 24, 50, 38, 28, 57, 44, 33, 64, 50, 38, 72, 57, 44, 81, 64
OFFSET
0,7
COMMENTS
Number of partitions of n into parts 3, 6, 7, and 9. - Joerg Arndt, Jul 22 2014
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,1,0,0,1,1,0,0,-1,0,-1,-1,0,-1,0,0,1,1,0,0,1,0,0,-1).
MATHEMATICA
CoefficientList[Series[1/((1-x^3)(1-x^6)(1-x^7)(1-x^9)), {x, 0, 80}], x] (* Harvey P. Dale, Jul 21 2014 *)
PROG
(PARI) Vec(1/((1-x^3)*(1-x^6)*(1-x^7)*(1-x^9)) + O(x^80)) \\ Jinyuan Wang, Mar 11 2020
CROSSREFS
Sequence in context: A071802 A110355 A219659 * A218254 A285037 A264422
KEYWORD
nonn,easy
STATUS
approved