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A167440 5th GegenbauerC polynomial evaluated at powers of 2 (multiplied by 5). 0
2, 724, 30248, 1028176, 33390752, 1072431424, 34349253248, 1099427742976, 35183701002752, 1125894538138624, 36028754069301248, 1152921161009483776, 36893485398640074752, 1180591598727178829824, 37778931687035301429248 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

Wikipedia, Gegenbauer Polynomials

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: A000197 A036298 A153923 * A156008 A103169 A082438

Adjacent sequences:  A167437 A167438 A167439 * A167441 A167442 A167443

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Nov 03 2009

STATUS

approved

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Last modified June 25 23:52 EDT 2019. Contains 324367 sequences. (Running on oeis4.)