A029010 Expansion of 1/((1-x)(1-x^2)(1-x^4)(1-x^11)).

1, 1, 2, 2, 4, 4, 6, 6, 9, 9, 12, 13, 17, 18, 22, 24, 29, 31, 36, 39, 45, 48, 55, 59, 67, 71, 80, 85, 95, 100, 111, 117, 129, 136, 149, 157, 171, 180, 195, 205, 221, 232, 249, 261, 280, 293, 313, 327, 349, 364, 387, 403, 428, 445, 471, 490, 518, 538, 567, 589, 620, 643, 675, 700

Offset

0,3

Comments

Number of partitions of n into parts 1, 2, 4 and 11. - Ilya Gutkovskiy, May 13 2017

Links

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

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

Formula

a(n) = floor((420+(n+9)*(2*n^2+36*n+91+33*(-1)^n))/1056). - Tani Akinari, Jul 04 2013

Mathematica

CoefficientList[Series[1/((1-x)(1-x^2)(1-x^4)(1-x^11)), {x, 0, 70}], x] (* Harvey P. Dale, Aug 31 2011 *)

Crossrefs

Sequence in context: A340282 A008642 A001364 * A060027 A001362 A358206

Adjacent sequences: A029007 A029008 A029009 * A029011 A029012 A029013

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved