A029055 Expansion of 1/((1-x)*(1-x^3)*(1-x^8)*(1-x^10)).

1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 18, 20, 22, 24, 26, 29, 31, 34, 37, 40, 43, 47, 50, 54, 58, 62, 66, 71, 75, 80, 85, 91, 96, 102, 108, 114, 120, 127, 133, 141, 148, 156, 164, 172, 180, 189

Offset

0,4

Comments

Number of partitions of n into parts 1, 3, 8 and 10. - Ilya Gutkovskiy, May 16 2017

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

Formula

a(n) = floor((2*n^3 + 66*n^2 + 639*n + 9*n*(-1)^n + 2902)/2880 +(1/9)*([(n mod 8)=3] - [(n mod 8)=7])). - Hoang Xuan Thanh, Jul 06 2025

Mathematica

CoefficientList[Series[1/((1-x)(1-x^3)(1-x^8)(1-x^10)), {x, 0, 60}], x] (* Harvey P. Dale, May 03 2012 *)

Prog

(PARI) my(x='x+O('x^50)); Vec(1/((1-x)*(1-x^3)*(1-x^8)*(1-x^10))) \\ G. C. Greubel, May 17 2017

Crossrefs

Sequence in context: A226503 A036847 A282379 * A035397 A033295 A018049

Adjacent sequences: A029052 A029053 A029054 * A029056 A029057 A029058

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved