A029333 Expansion of 1/((1-x^4)(1-x^5)(1-x^7)(1-x^9)).

1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 3, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 10, 10, 12, 12, 13, 14, 15, 16, 16, 18, 19, 20, 21, 22, 24, 25, 26, 27, 29, 31, 32, 33, 35, 37, 39, 40, 42, 44, 46, 48, 50, 52, 54, 57

Offset

0,10

Links

Table of n, a(n) for n=0..63.

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

Mathematica

CoefficientList[Series[1/((1-x^4)(1-x^5)(1-x^7)(1-x^9)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)
LinearRecurrence[{0, 0, 0, 1, 1, 0, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, -1}, {1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 3, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6}, 70] (* Harvey P. Dale, Aug 13 2022 *)

Crossrefs

Sequence in context: A232992 A165125 A235187 * A029261 A359384 A100480

Adjacent sequences: A029330 A029331 A029332 * A029334 A029335 A029336

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved