A025798 Expansion of g.f. 1/((1 - x^2)*(1 - x^3)*(1 - x^9)).

1, 0, 1, 1, 1, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 5, 4, 5, 7, 5, 7, 8, 7, 8, 10, 8, 10, 12, 10, 12, 14, 12, 14, 16, 14, 16, 19, 16, 19, 21, 19, 21, 24, 21, 24, 27, 24, 27, 30, 27, 30, 33, 30, 33, 37, 33, 37, 40, 37, 40, 44, 40, 44, 48, 44, 48, 52, 48, 52, 56, 52, 56

Offset

0,7

Comments

Number of partitions of n into parts 2, 3, and 9. - Stefano Spezia, Mar 30 2023

Links

Andrew Howroyd, Table of n, a(n) for n = 0..10000

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

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^3) (1 - x^9)), {x, 0, 100}], x] (* Wesley Ivan Hurt, Jan 20 2017 *)
LinearRecurrence[{0, 1, 1, 0, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1}, {1, 0, 1, 1, 1, 1, 2, 1, 2, 3, 2, 3, 4, 3}, 70] (* Harvey P. Dale, Sep 20 2021 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^9)) + O(x^81)) \\ Andrew Howroyd, Mar 30 2023

Crossrefs

Sequence in context: A116939 A253174 A008611 * A161064 A070086 A211990

Adjacent sequences: A025795 A025796 A025797 * A025799 A025800 A025801

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Stefano Spezia, Mar 30 2023

Status

approved