OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (24,-193,570,-400).
FORMULA
a(n) = (14*10^(n+3) - 30*8^(n+3) + 21*5^(n+3) -5)/1260. - Yahia Kahloune, Jul 01 2013
a(0)=1, a(1)=24, a(2)=383, a(3)=5130; for n>3, a(n) = 24*a(n-1) -193*a(n-2) +570*a(n-3)-400*a(n-4). - Vincenzo Librandi, Jul 12 2013
MATHEMATICA
CoefficientList[Series[1 / ((1 - x) (1 - 5 x) (1 - 8 x) (1 - 10 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 12 2013 *)
PROG
(Magma) I:=[1, 24, 383, 5130]; [n le 4 select I[n] else 24*Self(n-1)-193*Self(n-2)+570*Self(n-3)-400*Self(n-4): n in [1..25]]; /* or */ m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-5*x)*(1-8*x)*(1-10*x)))); // Vincenzo Librandi, Jul 12 2013
(PARI) x='x+O('x^30); Vec(1/((1-x)*(1-5*x)*(1-8*x)*(1-10*x))) \\ G. C. Greubel, Feb 26 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved