A029072 Expansion of 1/((1-x)*(1-x^4)*(1-x^6)*(1-x^11)).

1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 8, 8, 9, 10, 12, 13, 15, 16, 18, 19, 22, 24, 27, 28, 31, 33, 37, 39, 43, 45, 49, 52, 57, 60, 65, 68, 73, 77, 83, 87, 93, 97, 104, 109, 116, 121, 129, 134, 142, 148, 157, 163, 172, 179, 189, 196, 206, 214, 225, 233, 244, 253

Offset

0,5

Comments

Number of partitions of n into parts 1, 4, 6 and 11. - Ilya Gutkovskiy, May 18 2017

Links

Table of n, a(n) for n=0..63.

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

Formula

a(n) = floor((2*n^3 + 66*n^2 + 639*n + 33*n*(-1)^n + 2956)/3168 + (31/72)*([(n mod 4)=0] + [(n mod 132)=78] - [(n mod 132)=32])). - Hoang Xuan Thanh, Jul 19 2025

Crossrefs

Sequence in context: A350892 A029028 A240572 * A279766 A029027 A035448

Adjacent sequences: A029069 A029070 A029071 * A029073 A029074 A029075

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved