OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (25,-196,480).
FORMULA
G.f.: 1/((1-5*x)*(1-8*x)*(1-12*x)).
a(n) = 25*5^n/21 -16*8^n/3 +36*12^n/7. - R. J. Mathar, Jun 30 2013
a(0)=1, a(1)=25, a(2)=429; for n>2, a(n) = 25*a(n-1) -196*a(n-2) +480*a(n-3). - Vincenzo Librandi, Jul 03 2013
a(n) = 20*a(n-1) -96*a(n-2) +5^n. - Vincenzo Librandi, Jul 03 2013
MATHEMATICA
CoefficientList[Series[1 / ((1 - 5 x) (1 - 8 x) (1 - 12 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 03 2013 *)
LinearRecurrence[{25, -196, 480}, {1, 25, 429}, 20] (* Harvey P. Dale, Apr 01 2016 *)
PROG
(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-5*x)*(1-8*x)*(1-12*x)))); /* or */ I:=[1, 25, 429]; [n le 3 select I[n] else 25*Self(n-1)-196*Self(n-2)+480*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 03 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved