A025778 Expansion of 1/((1-x)(1-x^5)(1-x^8)).

1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 34, 35, 36, 38, 39, 41, 42, 43, 45, 46, 48, 50, 51, 53, 54, 56

Offset

0,6

Comments

Number of partitions of n into parts 1, 5 and 8. - Michel Marcus, Oct 12 2014

Links

Table of n, a(n) for n=0..60.

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

Formula

a(n)= +a(n-1) +a(n-5) -a(n-6) +a(n-8) -a(n-9) -a(n-13) +a(n-14). - R. J. Mathar, Aug 21 2014

a(n) = floor(n*(n+14)/80+1). - Tani Akinari, Oct 12 2014

Mathematica

CoefficientList[Series[1/((1-x)(1-x^5)(1-x^8)), {x, 0, 80}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, -1, 1}, {1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5}, 80] (* Harvey P. Dale, Oct 24 2017 *)

Prog

(PARI) Vec(1/((1-x)*(1-x^5)*(1-x^8)) + O(x^100)) \\ Michel Marcus, Oct 12 2014

Crossrefs

Sequence in context: A109964 A247366 A285760 * A294622 A078451 A332247

Adjacent sequences: A025775 A025776 A025777 * A025779 A025780 A025781

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved