A025828 Expansion of 1/((1-x^3)(1-x^4)(1-x^6)).

1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 4, 2, 2, 4, 4, 2, 6, 4, 4, 6, 6, 4, 9, 6, 6, 9, 9, 6, 12, 9, 9, 12, 12, 9, 16, 12, 12, 16, 16, 12, 20, 16, 16, 20, 20, 16, 25, 20, 20, 25, 25, 20, 30, 25, 25, 30, 30, 25, 36, 30, 30, 36, 36, 30, 42, 36, 36, 42, 42

Offset

0,7

Comments

Number of partitions of n into parts 3, 4, and 6. [Joerg Arndt, Aug 25 2013]

Links

Table of n, a(n) for n=0..70.

Kevin Woods, The generalized Frobenius problem via restricted partition functions, arXiv:2011.00600 [math.CO], 2021. See Example 1.4 p. 2.

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

Mathematica

CoefficientList[Series[1/((1-x^3)(1-x^4)(1-x^6)), {x, 0, 90}], x] (* Harvey P. Dale, Jul 10 2019 *)

Prog

(PARI) a(n) = (48*(1-n%3)*(n\3+1)+2*n^2+26*n+213+3*(2*n+13)*(-1)^n)\288;  \\ Tani Akinari, Aug 25 2013
(PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^6))+ O(x^80)) \\ Michel Marcus, Nov 04 2014

Crossrefs

Sequence in context: A243928 A286363 A233573 * A024165 A023191 A220188

Adjacent sequences: A025825 A025826 A025827 * A025829 A025830 A025831

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from Michel Marcus, Nov 04 2014

Status

approved