A029264 - OEIS

A029264

Expansion of 1/((1-x^3)*(1-x^4)*(1-x^8)*(1-x^11)).

1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 3, 3, 1, 3, 4, 4, 3, 4, 6, 6, 4, 7, 8, 8, 7, 9, 11, 11, 9, 13, 14, 14, 14, 16, 18, 19, 17, 21, 23, 23, 23, 26, 28, 30, 28, 32, 35, 36, 35, 39, 42, 44, 42, 47, 51, 52, 51, 56, 60, 62, 60, 66, 71, 72, 71, 78, 82, 84, 83, 90, 95, 97

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OFFSET

0,9

COMMENTS

Number of partitions of n into parts 3, 4, 8, and 11. - 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 (0,0,1,1,0,0,-1,1,0,0,0,-1,0,-1,0,0,0,1,-1,0,0,1,1,0,0,-1).

FORMULA

a(n) = floor((n^3+39*n^2+306*n+2160)/6336 - (n mod 2)*n/64 + ((n^3+2*n+1) mod 4)*n/32 - ((n^3+3*n^2+2*n) mod 4)/4 + ((8*n^3+4*n^2+6*n+10) mod 11)/11). - Hoang Xuan Thanh, Mar 24 2026

MATHEMATICA

CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^8) (1 - x^11)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)

PROG

(PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^8)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 12 2020

CROSSREFS

Sequence in context: A162981 A297359 A338291 * A215064 A124054 A299208

Adjacent sequences: A029261 A029262 A029263 * A029265 A029266 A029267

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved