OFFSET
0,22
COMMENTS
Number of compositions (ordered partitions) of n into parts 10, 11, 12, 13, 14 and 15. - 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 (0,0,0,0,0,0,0,0,0,1,1,1,1,1,1).
FORMULA
a(n) = a(n-10) +a(n-11) +a(n-12) +a(n-13) +a(n-14) +a(n-15) for n>14. - Vincenzo Librandi, Jul 01 2013
MATHEMATICA
CoefficientList[Series[1/(1 - Total[x^Range[10, 15]]), {x, 0, 80}], x] (* Vincenzo Librandi, Jul 01 2013 *)
PROG
(Magma)
R<x>:=PowerSeriesRing(Integers(), 80);
Coefficients(R!(1/(1-x^10-x^11-x^12-x^13-x^14-x^15))); // Vincenzo Librandi, Jul 01 2013
(SageMath)
def A017891_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( (1-x)/(1-x-x^10+x^16) ).list()
A017891_list(80) # G. C. Greubel, Nov 06 2024
CROSSREFS
KEYWORD
nonn,easy,changed
AUTHOR
STATUS
approved