A029243 Expansion of 1/((1-x^2)*(1-x^9)*(1-x^11)*(1-x^12)).

1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 4, 3, 5, 4, 6, 4, 6, 5, 6, 6, 7, 7, 8, 9, 9, 10, 11, 10, 12, 11, 13, 12, 15, 13, 17, 16, 18, 18, 20, 19, 21, 21, 22, 23, 25, 25, 28, 28, 30, 30, 33, 31, 35, 34, 37, 37

Offset

0,12

Comments

Number of partitions of n into parts 2, 9, 11, and 12. - Vincenzo Librandi, Jun 03 2014

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1).

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^9) (1 - x^11) (1 - x^12)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)
LinearRecurrence[{0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1}, {1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 4, 3, 5, 4, 6, 4, 6, 5, 6, 6, 7, 7, 8, 9}, 70] (* Harvey P. Dale, May 21 2025 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^9)*(1-x^11)*(1-x^12)) + O(x^80)) \\ Jinyuan Wang, Mar 12 2020

Crossrefs

Sequence in context: A165093 A066088 A139326 * A385930 A306240 A109829

Adjacent sequences: A029240 A029241 A029242 * A029244 A029245 A029246

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved