login
A029202
Expansion of 1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^11)).
1
1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 23, 24, 26, 27, 29, 31, 32, 35, 36, 39, 40, 43, 45, 47, 50, 52, 55, 57, 60, 63, 66, 69, 72, 75, 78, 82, 85
OFFSET
0,8
COMMENTS
Number of partitions of n into parts 2, 5, 7, and 11. - Joerg Arndt, Jun 02 2014
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,1,0,0,1,0,0,0,-1,0,1,-1,-1,1,0,-1,0,0,0,1,0,0,1,0,-1).
MATHEMATICA
CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^7) (1 - x^11)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)
LinearRecurrence[{0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 1, -1, -1, 1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, -1}, {1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 9, 10}, 70] (* Harvey P. Dale, Sep 19 2022 *)
PROG
(PARI) Vec(1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020
CROSSREFS
Sequence in context: A342097 A259357 A031265 * A173894 A353533 A349041
KEYWORD
nonn,easy
STATUS
approved