A025764 Expansion of 1/((1-x)(1-x^2)(1-x^7)).

1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 17, 19, 20, 22, 24, 26, 28, 30, 32, 34, 36, 39, 41, 44, 46, 49, 51, 54, 57, 60, 63, 66, 69, 72, 75, 79, 82, 86, 89, 93, 96, 100, 104, 108, 112, 116, 120, 124, 128

Offset

0,3

References

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 120, D(n;1,2,7).

Links

Table of n, a(n) for n=0..55.

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

Formula

round( (n+3)*(n+7)/28).

a(n) = +a(n-1) +a(n-2) -a(n-3) +a(n-7) -a(n-8) -a(n-9) +a(n-10). - R. J. Mathar, Jun 04 2013

Mathematica

CoefficientList[Series[1/((1-x)(1-x^2)(1-x^7)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 1, -1, 0, 0, 0, 1, -1, -1, 1}, {1, 1, 2, 2, 3, 3, 4, 5, 6, 7}, 60] (* Harvey P. Dale, Jul 29 2019 *)

Crossrefs

Sequence in context: A116572 A342517 A062049 * A237119 A011881 A366853

Adjacent sequences: A025761 A025762 A025763 * A025765 A025766 A025767

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved