A291983 Expansion of 1/((1+x)*(1+x^2)*(1+x^3)).

1, -1, 0, -1, 2, -1, 1, -2, 2, -2, 2, -2, 3, -3, 2, -3, 4, -3, 3, -4, 4, -4, 4, -4, 5, -5, 4, -5, 6, -5, 5, -6, 6, -6, 6, -6, 7, -7, 6, -7, 8, -7, 7, -8, 8, -8, 8, -8, 9, -9, 8, -9, 10, -9, 9, -10, 10, -10, 10, -10, 11, -11, 10, -11, 12, -11, 11, -12, 12, -12, 12

Offset: 0

Author

Seiichi Manyama, Sep 07 2017

Keywords

• sign

Links

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

Crossrefs

Cf. A112689, A291954, A291984, A291985.

Programs

Mathematica

CoefficientList[Series[1/((1+x)(1+x^2)(1+x^3)),{x,0,70}],x] (* or *) LinearRecurrence[ {-1,-1,-2,-1,-1,-1},{1,-1,0,-1,2,-1},80] (* Harvey P. Dale, Jun 12 2022 *)

PARI

Vec(1/((1+x)*(1+x^2)*(1+x^3)) + O(x^100))