A017884 Expansion of 1/(1-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17).

1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 12, 15, 19, 24, 30, 37, 45, 53, 61, 70, 81, 95, 113, 136, 165, 201, 245, 296, 354, 420, 496, 585, 691, 819, 975, 1167, 1402, 1686, 2025

Offset

0,20

Comments

Number of compositions (ordered partitions) of n into parts 9, 10, 11, 12, 13, 14, 15, 16 and 17. - Ilya Gutkovskiy, May 27 2017

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

Formula

a(n) = a(n-9) +a(n-10) +a(n-11) +a(n-12) +a(n-13) +a(n-14) +a(n-15) +a(n-16) +a(n-17) for n>16. - Vincenzo Librandi, Jul 01 2013

Mathematica

CoefficientList[Series[1 / (1 - Total[x^Range[9, 17]]), {x, 0, 60}], x] (* Harvey P. Dale, Sep 12 2012 *)

Prog

(Magma) I:=[1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]; [n le 17 select I[n] else Self(n-9)+Self(n-10)+Self(n-11)+Self(n-12)+Self(n-13)+Self(n-14)+Self(n-15)+Self(n-16)+Self(n-17): n in [1..70]]; /* or */ m:=70; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17))); // Vincenzo Librandi, Jul 01 2013

Crossrefs

Sequence in context: A028904 A081600 A239092 * A072139 A266325 A262087

Adjacent sequences: A017881 A017882 A017883 * A017885 A017886 A017887

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved