OFFSET
0,22
COMMENTS
Number of compositions (ordered partitions) of n into parts 10, 11 and 12. - 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).
FORMULA
a(n) = a(n-10) + a(n-11) + a(n-12), for n > 11. - Vincenzo Librandi, Jul 01 2013
MATHEMATICA
CoefficientList[Series[1 / (1 - Total[x^Range[10, 12]]), {x, 0, 80}], x] (* Vincenzo Librandi, Jul 01 2013 *)
PROG
(Magma)
m:=80; R<x>:=PowerSeriesRing(Integers(), m);
Coefficients(R!(1/(1-x^10-x^11-x^12))); // Vincenzo Librandi, Jul 01 2013
(PARI)
my(x='x+O('x^80)); Vec(1/(1-x^10-x^11-x^12)) \\ Altug Alkan, Oct 04 2018
(SageMath)
def A017888_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( (1-x)/(1-x-x^10+x^(13)) ).list()
A017888_list(80) # G. C. Greubel, Sep 25 2024
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved