A029289 Expansion of 1/((1-x^3)*(1-x^5)*(1-x^10)*(1-x^11)).

1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 3, 3, 2, 3, 3, 5, 5, 4, 5, 5, 7, 7, 6, 7, 7, 10, 10, 9, 11, 10, 13, 14, 12, 14, 14, 17, 18, 17, 19, 19, 22, 23, 22, 24, 24, 28, 29, 28, 31, 31, 35, 36, 35, 38, 38, 43, 44, 43, 47, 47, 52, 54, 52, 56, 57, 62, 64, 63, 67

Offset

0,11

Comments

Number of partitions of n into parts 3, 5, 10, and 11. - Vincenzo Librandi, Jun 04 2014

Links

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

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

Formula

a(n) = floor((2*n^3+87*n^2+738*n+6400)/19800 + ((4*n^2+n+2) mod 5)*n/50 + ((n+2) mod 3)/9 + ((6*n^3+8*n^2+3*n+5) mod 11)/11). - Hoang Xuan Thanh, Mar 31 2026

Mathematica

CoefficientList[Series[1/((1-x^3)(1-x^5)(1-x^10)(1-x^11)), {x, 0, 70}], x] (* Harvey P. Dale, Dec 12 2012 *)

Crossrefs

Sequence in context: A331083 A245588 A014420 * A181834 A194848 A289497

Adjacent sequences: A029286 A029287 A029288 * A029290 A029291 A029292

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved