OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (13,-44,32).
FORMULA
a(n) = 4*8^n - 6*4^n + 1.
From Colin Barker, May 04 2015: (Start)
a(n) = 13*a(n-1) - 44*a(n-2) + 32*a(n-3) for n > 2.
G.f.: -(22*x-1)/((x-1)*(4*x-1)*(8*x-1)). (End)
E.g.f.: exp(x)*(4*exp(7*x) - 6*exp(3*x) + 1). - Elmo R. Oliveira, Feb 23 2025
MAPLE
seq(euler(3, 2^i), i=0..24);
MATHEMATICA
Table[EulerE[3, 2^n], {n, 0, 40}]*4 (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)
PROG
(PARI) Vec(-(22*x-1)/((x-1)*(4*x-1)*(8*x-1)) + O(x^100)) \\ Colin Barker, May 04 2015
CROSSREFS
KEYWORD
sign,easy
AUTHOR
STATUS
approved