A017836 Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).

1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 5, 7, 10, 14, 18, 25, 35, 49, 66, 90, 124, 172, 236, 323, 443, 610, 839, 1152, 1581, 2173, 2987, 4104, 5636, 7743, 10640, 14620, 20084, 27591, 37908, 52085, 71559, 98311, 135067

Offset

0,9

Comments

Number of compositions (ordered partitions) of n into parts 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 and 14. - Ilya Gutkovskiy, May 25 2017

Links

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

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

Formula

a(n) = a(n-4) +a(n-5) +a(n-6) +a(n-7) +a(n-8) +a(n-9) +a(n-10) +a(n-11) +a(n-12) +a(n-13) +a(n-14) for n>13. - Vincenzo Librandi, Jun 27 2013

Mathematica

CoefficientList[Series[1 / (1 - Total[x^Range[4, 14]]), {x, 0, 50}], x] (* Vincenzo Librandi, Jun 27 2013 *)

Prog

(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14))); // Vincenzo Librandi, Jun 27 2013

Crossrefs

Sequence in context: A087830 A039857 A255216 * A321481 A238874 A099559

Adjacent sequences: A017833 A017834 A017835 * A017837 A017838 A017839

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved