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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
OFFSET
1,1
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
KEYWORD
nonn
AUTHOR
STATUS
approved