OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (16,-83,164,-96).
FORMULA
a(0)=1, a(1)=16; for n>1, a(n) = 12*a(n-1) -32*a(n-2) +(3^n-1)/2. - Vincenzo Librandi, Jul 09 2013
a(0)=1, a(1)=16, a(2)=173, a(3)=1604; for n>3, a(n) = 16*a(n-1) -83*a(n-2) +164*a(n-3) -96*a(n-4). - Vincenzo Librandi, Jul 09 2013
MATHEMATICA
CoefficientList[Series[1 / ((1 - x) (1 - 3 x) (1 - 4 x) (1 - 8 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 09 2013 *)
PROG
(Magma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-3*x)*(1-4*x)*(1-8*x)))); /* or */ I:=[1, 16, 173, 1604]; [n le 4 select I[n] else 16*Self(n-1)-83*Self(n-2)+164*Self(n-3)-96*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Jul 09 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved