A029326 Expansion of 1/((1-x^4)(1-x^5)(1-x^6)(1-x^7)).

1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 9, 9, 10, 10, 12, 12, 14, 14, 16, 16, 18, 19, 21, 21, 23, 24, 27, 27, 30, 30, 33, 34, 37, 38, 41, 42, 45, 46, 50, 51, 55, 56, 60, 61, 65, 67, 72, 73, 77, 79, 84, 86, 91, 93, 98, 100, 106

Offset

0,11

Comments

Number of partitions of n into parts 4, 5, 6 and 7. - Seiichi Manyama, Jun 16 2017

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1,1,1,1,0,-1,-1,-2,-1,-1,0,1,1,1,1,0,0,0,-1).

Mathematica

CoefficientList[Series[1/((1-x^4)(1-x^5)(1-x^6)(1-x^7)), {x, 0, 70}], x] (* Harvey P. Dale, Jun 17 2011 *)

Prog

(PARI) Vec(1/((1-x^4)*(1-x^5)*(1-x^6)*(1-x^7)) + O(x^100)) \\ Michel Marcus, Jun 16 2017

Crossrefs

Sequence in context: A341307 A103469 A337932 * A239500 A029204 A241085

Adjacent sequences: A029323 A029324 A029325 * A029327 A029328 A029329

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved