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”).

A029151
Expansion of 1/((1-x^2)(1-x^3)(1-x^6)(1-x^8)).
0
1, 0, 1, 1, 1, 1, 3, 1, 4, 3, 4, 4, 7, 4, 9, 7, 10, 9, 14, 10, 17, 14, 19, 17, 25, 19, 29, 25, 32, 29, 40, 32, 46, 40, 50, 46, 60, 50, 68, 60, 74, 68, 86, 74, 96, 86, 104, 96, 119, 104, 131, 119, 141, 131, 159, 141, 174
OFFSET
0,7
LINKS
MATHEMATICA
CoefficientList[Series[ 1/((1-x^2)(1-x^3)(1-x^6)(1-x^8)), {x, 0, 100}], x] (* or *) LinearRecurrence[{0, 1, 1, 0, -1, 1, 0, 0, -1, -1, 0, 0, 1, -1, 0, 1, 1, 0, -1}, {1, 0, 1, 1, 1, 1, 3, 1, 4, 3, 4, 4, 7, 4, 9, 7, 10, 9, 14}, 100] (* Harvey P. Dale, Jun 04 2021 *)
PROG
(PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^6)*(1-x^8)) + O(x^90)) \\ Jinyuan Wang, Mar 18 2020
CROSSREFS
Sequence in context: A339106 A082909 A335906 * A102595 A113415 A332801
KEYWORD
nonn,easy
STATUS
approved