A029150 Expansion of 1/((1-x^2)(1-x^3)(1-x^6)(1-x^7)).

1, 0, 1, 1, 1, 1, 3, 2, 3, 4, 4, 4, 7, 6, 8, 9, 10, 10, 14, 13, 16, 18, 19, 20, 25, 24, 28, 31, 33, 34, 41, 40, 45, 49, 52, 54, 62, 62, 68, 73, 77, 80, 90, 90, 98, 104, 109, 113, 125, 126, 135, 143, 149, 154, 168, 170, 181

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Number of partitions of n into parts 2, 3, 6, and 7. - Joerg Arndt, Aug 13 2013

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (0,1,1,0,-1,1,1,-1,-2,-1,1,1,-1,0,1,1,0,-1).

Programs

Magma

m:=80; R:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x^2)*(1-x^3)*(1-x^6)*(1-x^7)))); // Vincenzo Librandi, Aug 13 2013

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^3) (1 - x^6) (1 - x^7)), {x, 0, 100}], x] (* Vincenzo Librandi, Aug 13 2013 *)

PARI

Vec(1/((1-x^2)*(1-x^3)*(1-x^6)*(1-x^7))+O(x^99)) \\ Charles R Greathouse IV, Sep 27 2012