A029019 Expansion of 1/((1-x)*(1-x^2)*(1-x^6)*(1-x^11)).

1, 1, 2, 2, 3, 3, 5, 5, 7, 7, 9, 10, 13, 14, 17, 18, 21, 23, 27, 29, 33, 35, 40, 43, 49, 52, 58, 61, 68, 72, 80, 84, 92, 97, 106, 112, 122, 128, 138, 145, 156, 164, 176, 184, 197, 206, 220, 230, 245, 255, 271, 282, 299

Offset

0,3

Comments

Number of partitions of n into parts 1, 2, 6 and 11. - Ilya Gutkovskiy, May 14 2017

Links

Table of n, a(n) for n=0..52.

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

Formula

a(n) = floor((2*n^3 + 60*n^2 + 519*n + 33*n*(-1)^n + 1952)/1584 + (1/4)*([(n mod 6)=0] - [(n mod 6)=3])). - Hoang Xuan Thanh, Jul 07 2025

Crossrefs

Sequence in context: A064986 A349675 A386731 * A040039 A008667 A367221

Adjacent sequences: A029016 A029017 A029018 * A029020 A029021 A029022

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved