A029383 Expansion of 1/((1-x^5)(1-x^6)(1-x^8)(1-x^9)).

1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 4, 5, 4, 5, 5, 5, 6, 7, 6, 8, 8, 8, 9, 10, 9, 11, 11, 12, 13, 14, 13, 15, 16, 16, 17, 19, 18, 21, 21, 21, 23, 25, 24, 27, 27, 28, 30, 32, 31, 34, 35, 36, 38, 40

Offset

0,15

Links

Table of n, a(n) for n=0..66.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 1, 1, 0, 1, 1, 0, -1, 0, -1, -2, -1, 0, -1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, -1).

Mathematica

CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^8)(1-x^9)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)
LinearRecurrence[{0, 0, 0, 0, 1, 1, 0, 1, 1, 0, -1, 0, -1, -2, -1, 0, -1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 4, 5, 4, 5, 5}, 100] (* Harvey P. Dale, Jul 30 2021 *)

Crossrefs

Sequence in context: A064415 A086833 A010764 * A341737 A351033 A318837

Adjacent sequences: A029380 A029381 A029382 * A029384 A029385 A029386

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved