A029431 Expansion of 1/((1-x^6)(1-x^10)(1-x^11)(1-x^12)).

1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 4, 1, 3, 3, 5, 3, 5, 1, 3, 3, 6, 4, 7, 3, 6, 5, 8, 5, 8, 3, 7, 6, 10, 7, 11, 6, 10, 8, 12, 8, 13, 7, 12, 10, 15, 11, 17, 10, 15, 12, 18, 13, 20, 12

Offset

0,13

Links

Table of n, a(n) for n=0..73.

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

Mathematica

CoefficientList[Series[1/((1-x^6)(1-x^10)(1-x^11)(1-x^12)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)
LinearRecurrence[{0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0, 0, -1, -1, -1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 4, 1, 3, 3, 5, 3, 5, 1, 3}, 80] (* Harvey P. Dale, Oct 03 2020 *)

Crossrefs

Sequence in context: A070936 A014081 A091890 * A091492 A284264 A273302

Adjacent sequences: A029428 A029429 A029430 * A029432 A029433 A029434

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved