A029018 - OEIS

A029018

Expansion of 1/((1-x)*(1-x^2)*(1-x^6)*(1-x^9)).

1, 1, 2, 2, 3, 3, 5, 5, 7, 8, 10, 11, 14, 15, 18, 20, 23, 25, 30, 32, 37, 40, 45, 48, 55, 58, 65, 70, 77, 82, 91, 96, 105, 112, 121, 128, 140, 147, 159, 168, 180, 189, 204, 213, 228, 240, 255, 267, 285, 297, 315, 330

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OFFSET

0,3

COMMENTS

Number of partitions of n into parts 1, 2, 6 and 9. - Ilya Gutkovskiy, May 14 2017

LINKS

Table of n, a(n) for n=0..51.

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

FORMULA

a(n) = floor((2*n^3 + 54*n^2 + 417*n + 27*n*(-1)^n + 24*n*[(n mod 3)=0] + 1472)/1296). - Hoang Xuan Thanh, Jun 27 2025

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^2)(1-x^6)(1-x^9)), {x, 0, 80}], x] (* Harvey P. Dale, Jan 15 2021 *)

CROSSREFS

Sequence in context: A240870 A265771 A239513 * A238217 A185226 A096765

Adjacent sequences: A029015 A029016 A029017 * A029019 A029020 A029021

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved