A167440 5th GegenbauerC polynomial evaluated at powers of 2 (multiplied by 5).

2, 724, 30248, 1028176, 33390752, 1072431424, 34349253248, 1099427742976, 35183701002752, 1125894538138624, 36028754069301248, 1152921161009483776, 36893485398640074752, 1180591598727178829824, 37778931687035301429248

Offset

1,1

Links

Table of n, a(n) for n=1..15.

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

Sequence in context: A036298 A341078 A153923 * A156008 A103169 A082438

Adjacent sequences: A167437 A167438 A167439 * A167441 A167442 A167443

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Nov 03 2009

Status

approved