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A029284
Expansion of 1/((1-x^3)(1-x^5)(1-x^8)(1-x^11)).
1
1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 3, 1, 2, 3, 2, 4, 3, 3, 5, 4, 5, 6, 5, 7, 7, 7, 9, 8, 9, 11, 10, 12, 13, 12, 15, 15, 15, 18, 17, 19, 21, 20, 23, 24, 24, 27, 27, 29, 31, 31, 34, 35, 36, 39, 40, 42, 44, 45, 48, 50, 51, 54, 56
OFFSET
0,9
COMMENTS
Number of partitions of n into parts 3, 5, 8, and 11. - Vincenzo Librandi, Jun 04 2014
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,1,0,1,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,1,0,1,0,0,-1).
MATHEMATICA
CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^8) (1 - x^11)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 04 2014 *)
LinearRecurrence[{0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1}, {1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 3, 1, 2, 3, 2, 4, 3, 3, 5, 4, 5, 6, 5, 7, 7, 7}, 100] (* Harvey P. Dale, Feb 21 2024 *)
PROG
(PARI) Vec(1/((1-x^3)*(1-x^5)*(1-x^8)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 11 2020
CROSSREFS
Sequence in context: A131376 A025840 A188542 * A123275 A112544 A198789
KEYWORD
nonn,easy
STATUS
approved