OFFSET
1,1
LINKS
Wikipedia, Gegenbauer Polynomials
Index entries for linear recurrences with constant coefficients, signature (42, -336, 512).
FORMULA
Conjectures from Colin Barker, Oct 27 2014: (Start)
a(n) = 2^n*(5-5*4^n+16^n).
a(n) = 42*a(n-1)-336*a(n-2)+512*a(n-3).
G.f.: -2*x*(256*x^2+320*x+1) / ((2*x-1)*(8*x-1)*(32*x-1)).
(End)
MATHEMATICA
Table[GegenbauerC[5, 2^n], {n, 0, 30}]*5
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Joseph Stephan Orlovsky, Nov 03 2009
STATUS
approved