A029063 Expansion of 1/((1-x)*(1-x^4)*(1-x^5)*(1-x^6)).

1, 1, 1, 1, 2, 3, 4, 4, 5, 6, 8, 9, 11, 12, 14, 16, 19, 21, 24, 26, 30, 33, 37, 40, 45, 49, 54, 58, 64, 69, 76, 81, 88, 94, 102, 109, 118, 125, 134, 142, 153, 162, 173, 182, 194, 205, 218, 229, 243, 255, 270, 283, 299

Offset

0,5

Comments

Number of partitions of n into parts 1, 4, 5 and 6. - Ilya Gutkovskiy, May 16 2017

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

Mathematica

CoefficientList[Series[1/((1-x)(1-x^4)(1-x^5)(1-x^6)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 1, -1}, {1, 1, 1, 1, 2, 3, 4, 4, 5, 6, 8, 9, 11, 12, 14, 16}, 60] (* Harvey P. Dale, Jan 17 2017 *)

Prog

(PARI) x='x+O(x^50); Vec(1/((1-x)*(1-x^4)*(1-x^5)*(1-x^6))) \\ G. C. Greubel, May 17 2017

Crossrefs

Sequence in context: A351520 A065328 A049877 * A015737 A015745 A375476

Adjacent sequences: A029060 A029061 A029062 * A029064 A029065 A029066

Keyword

nonn

Author

N. J. A. Sloane

Status

approved