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,-173,330).
FORMULA
a(0)=1, a(1)=24, a(2)=403; for n>2, a(n) = 24*a(n-1) -173*a(n-2) +330*a(n-3). - Vincenzo Librandi, Jul 02 2013
a(n) = 21*a(n-1) -110*a(n-2) +3^n. - Vincenzo Librandi, Jul 02 2013
a(n) = (7*11^(n+2) - 8*10^(n+2) + 3^(n+2))/56. [Yahia Kahloune, Jul 06 2013]
MATHEMATICA
CoefficientList[Series[1 / ((1 - 3 x) (1 - 10 x) (1 - 11 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 02 2013 *)
LinearRecurrence[{24, -173, 330}, {1, 24, 403}, 20] (* Harvey P. Dale, Nov 25 2013 *)
PROG
(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-3*x)*(1-10*x)*(1-11*x)))); /* or */ I:=[1, 24, 403]; [n le 3 select I[n] else 24*Self(n-1)-173*Self(n-2)+330*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 02 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved