A029363 Expansion of 1/((1 - x^4)*(1 - x^7)*(1 - x^9)*(1 - x^10)).

1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 4, 4, 5, 6, 5, 6, 6, 7, 6, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 14, 14, 15, 15, 17, 17, 18, 18, 20, 20, 22, 22, 24, 24, 26, 26, 28, 28, 30, 31, 33, 33, 35, 36, 38, 38, 41, 41, 44, 44, 47, 47, 50, 51, 53, 54, 57, 58, 60, 61, 65, 65, 68, 69, 73

Offset

0,15

Comments

Number of partitions of n into parts 4, 7, 9, and 10. - Stefano Spezia, Jan 03 2023

Links

Table of n, a(n) for n=0..88.

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

Mathematica

CoefficientList[Series[1/((1-x^4)(1-x^7)(1-x^9)(1-x^10)), {x, 0, 70}], x] (* Harvey P. Dale, Sep 13 2011 *)

Prog

(PARI) Vec(1/((1-x^4)*(1-x^7)*(1-x^9)*(1-x^10)) + O(x^80)) \\ Jinyuan Wang, Mar 11 2020

Crossrefs

Sequence in context: A178695 A185315 A232548 * A304708 A367758 A358370

Adjacent sequences: A029360 A029361 A029362 * A029364 A029365 A029366

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved