A029252 - OEIS

A029252

Expansion of 1/((1-x^3)*(1-x^4)*(1-x^6)*(1-x^8)).

1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 5, 2, 4, 5, 6, 4, 8, 6, 9, 8, 10, 9, 15, 10, 14, 15, 18, 14, 22, 18, 24, 22, 26, 24, 34, 26, 34, 34, 40, 34, 46, 40, 50, 46, 54, 50, 65, 54, 66, 65, 75, 66, 84, 75, 90, 84, 96, 90, 111, 96

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OFFSET

0,7

COMMENTS

Number of partitions of n into parts 3, 4, 6, and 8. - Vincenzo Librandi, Jun 03 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = floor((2*n^3+63*n^2+363*n+2560)/6912 + (-1)^n*(n^2+21*n)/768 + ((2*n^2+1) mod 3)*(n+12)/18 + ((n^2+n+2) mod 4)*n/64). - Hoang Xuan Thanh, Mar 21 2026

MATHEMATICA

CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^6) (1 - x^8)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)

PROG

(PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^6)*(1-x^8)) + O(x^80)) \\ Jinyuan Wang, Mar 12 2020

CROSSREFS

Sequence in context: A276060 A276058 A247302 * A094876 A144159 A318662

Adjacent sequences: A029249 A029250 A029251 * A029253 A029254 A029255

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved