OFFSET
0,9
COMMENTS
Number of compositions (ordered partitions) of n into parts 4, 5, 6, 7, 8 and 9. - 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).
FORMULA
a(n) = a(n-4) +a(n-5) +a(n-6) +a(n-7) +a(n-8) +a(n-9) for n>9. - Vincenzo Librandi, Jun 27 2013
MATHEMATICA
CoefficientList[Series[1 / (1 - Total[x^Range[4, 9]]), {x, 0, 50}], x] (* Vincenzo Librandi, Jun 27 2013 *)
LinearRecurrence[{0, 0, 0, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 1, 1, 1, 1, 2}, 60] (* Harvey P. Dale, Oct 03 2016 *)
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))); // Vincenzo Librandi, Jun 27 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved