OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (17,-77,127,-66).
FORMULA
a(0)=1, a(1)=17; for n>1, a(n) = 14*a(n-1) -33*a(n-2) +2^n - 1. - Vincenzo Librandi, Jul 05 2013
a(0)=1, a(1)=17, a(2)=212, a(3)=2422; for n>3, a(n) = 17*a(n-1) -77*a(n-2) +127*a(n-3) -66*a(n-4). - Vincenzo Librandi, Jul 05 2013
a(n) = (11^(n+3) -45*3^(n+3) + 80*2^(n+3) - 36)/720. [Yahia Kahloune, Jul 07 2013]
MATHEMATICA
CoefficientList[Series[1 / ((1 - x) (1 - 2 x) (1 - 3 x) (1 - 11 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 05 2013 *)
PROG
(Magma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-2*x)*(1-3*x)*(1-11*x)))); /* or */ I:=[1, 17, 212, 2422]; [n le 4 select I[n] else 17*Self(n-1)-77*Self(n-2)+127*Self(n-3)-66*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Jul 05 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved