A029140 - OEIS

A029140

Expansion of 1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^10)).

1, 0, 1, 1, 2, 1, 3, 2, 4, 3, 6, 4, 8, 6, 10, 8, 13, 10, 16, 13, 20, 16, 24, 20, 29, 24, 34, 29, 40, 34, 47, 40, 54, 47, 62, 54, 71, 62, 80, 71, 91, 80, 102, 91, 114, 102, 127, 114, 141, 127, 156, 141, 172, 156, 189

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OFFSET

0,5

COMMENTS

Number of partitions of n into parts 2, 3, 4 and 10. - Hoang Xuan Thanh, Jul 10 2025

LINKS

Table of n, a(n) for n=0..54.

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

FORMULA

a(n) = floor((2*n^3 + 57*n^2 + 477*n + 2178)/2880 + (n+6)*(n+13)*(-1)^n/320). - Hoang Xuan Thanh, Jul 10 2025

MATHEMATICA

CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^4)(1-x^10)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 18 2020 *)

CROSSREFS

Sequence in context: A161227 A115584 A058742 * A008584 A352833 A034390

Adjacent sequences: A029137 A029138 A029139 * A029141 A029142 A029143

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved