OFFSET
0,18
COMMENTS
Number of compositions (ordered partitions) of n into parts 8, 9 and 10. - Ilya Gutkovskiy, May 26 2017
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1,1,1).
FORMULA
a(n) = a(n-8) +a(n-9) +a(n-10) for n>9. - Vincenzo Librandi, Jun 28 2013
MATHEMATICA
CoefficientList[Series[1/(1 - Total[x^Range[8, 10]]), {x, 0, 70}], x] (* Vincenzo Librandi, Jun 28 2013 *)
PROG
(Magma) m:=70; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^8-x^9-x^10))); /* or */ I:=[1, 0, 0, 0, 0, 0, 0, 0, 1, 1]; [n le 10 select I[n] else Self(n-8)+Self(n-9)+Self(n-10): n in [1..70]]; // Vincenzo Librandi, Jun 28 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved