OFFSET
0,2
COMMENTS
3rd Chebyshev polynomial (first kind) evaluated at powers of 2.
LINKS
FORMULA
a(n) = 10*a(n-1)-16*a(n-2). - Colin Barker, May 03 2015
G.f.: (16*x+1) / ((2*x-1)*(8*x-1)). - Colin Barker, May 03 2015
MAPLE
with(orthopoly):seq(T(3, 2^i), i=0..24);
MATHEMATICA
Table[ChebyshevT[3, 2^n], {n, 1, 40}] (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)
PROG
(PARI) a(n) = polchebyshev(3, 1, 2^n); \\ Michel Marcus, Dec 28 2014
(PARI) Vec((16*x+1)/((2*x-1)*(8*x-1)) + O(x^100)) \\ Colin Barker, May 03 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved