A029245 Expansion of 1/((1-x^3)(1-x^4)(1-x^5)(1-x^7)).

1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 19, 21, 22, 24, 26, 28, 30, 32, 35, 37, 39, 42, 45, 48, 50, 54, 57, 60, 64, 67, 71, 75, 79, 83, 87, 92, 96, 101, 106, 111, 116, 121, 127

Offset

0,8

Comments

Number of partitions of n into parts 3, 4, 5, and 7. - Vincenzo Librandi, Jun 03 2014

Links

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

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

Mathematica

CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^5) (1 - x^7)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)

Prog

(PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^5)*(1-x^7)) + O(x^80)) \\ Jinyuan Wang, Mar 12 2020

Crossrefs

Sequence in context: A051066 A029159 A029099 * A174576 A288122 A060970

Adjacent sequences: A029242 A029243 A029244 * A029246 A029247 A029248

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved