A017856 Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).

1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 6, 8, 11, 15, 20, 26, 31, 38, 48, 62, 81, 106, 135, 170, 214, 271, 346, 446, 573, 732, 931, 1182, 1502, 1917, 2452, 3136, 4005, 5106, 6502, 8284, 10566, 13488, 17222

Offset

0,13

Comments

Number of compositions (ordered partitions) of n into parts 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 and 16. - Ilya Gutkovskiy, May 25 2017

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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

Mathematica

With[{den=Total[-(x)^Range[6, 16]]+1}, CoefficientList[Series[1/den, {x, 0, 50}], x]] (* Harvey P. Dale, Oct 16 2011 *)

Prog

(PARI) Vec(1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16)+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

Crossrefs

Sequence in context: A084766 A128559 A122168 * A087412 A024684 A265538

Adjacent sequences: A017853 A017854 A017855 * A017857 A017858 A017859

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved