A029101 Expansion of 1/((1-x)*(1-x^5)*(1-x^9)*(1-x^11)).

1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 5, 5, 5, 6, 7, 8, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 21, 22, 24, 26, 28, 30, 32, 34, 36, 39, 41, 44, 46, 49, 52, 55, 58, 61, 65, 68, 72, 75, 79, 83, 87, 91, 95, 100, 105, 110, 114, 119, 124, 130, 135, 140, 146, 152, 159, 165

Offset

0,6

Comments

Number of partitions of n into parts 1, 5, 9 and 11. - Ilya Gutkovskiy, May 21 2017

Links

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

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

Formula

a(n) = floor((55*n^3+93*n^2+18*n+70)/54) - floor((n^3+4*n^2+2)/5) - floor((9*n^3+10*n^2+2*n+6)/11). - Hoang Xuan Thanh, Mar 03 2026

Mathematica

CoefficientList[Series[1/((1 - x) (1 - x^5) (1 - x^9) (1 - x^11)), {x, 0, 80}], x] (* Vincenzo Librandi, May 24 2017 *)

Crossrefs

Sequence in context: A280069 A202276 A029115 * A194815 A029080 A147652

Adjacent sequences: A029098 A029099 A029100 * A029102 A029103 A029104

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved