OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..830
Index entries for linear recurrences with constant coefficients, signature (26,-176,256).
FORMULA
From Colin Barker, May 04 2015: (Start)
a(n) = 2^n - 2^(1+3*n) + 16^n.
a(n) = 26*a(n-1) - 176*a(n-2) + 256*a(n-3) for n > 2.
G.f.: -2*x*(40*x+1)/((2*x-1)*(8*x-1)*(16*x-1)). (End)
E.g.f.: exp(2*x)*(exp(14*x) - 2*exp(6*x) + 1). - Elmo R. Oliveira, Feb 22 2025
MAPLE
seq(euler(4, 2^n), n=0..24);
MATHEMATICA
Table[EulerE[4, 2^n], {n, 0, 40}] (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)
PROG
(PARI) concat(0, Vec(-2*x*(40*x+1)/((2*x-1)*(8*x-1)*(16*x-1)) + O(x^100))) \\ Colin Barker, May 04 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved