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A020542
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a(n) = 5th Chebyshev polynomial (second kind) evaluated at 2^n.
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1
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6, 780, 30744, 1032240, 33423456, 1072693440, 34351350144, 1099444519680, 35183835219456, 1125895611878400, 36028762659231744, 1152921229728952320, 36893485948395872256, 1180591603125225308160, 37778931722219673452544, 1208925818488729268060160
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 2^(1+n)*(3-4^(2+n)+16^(1+n))
a(n) = 42*a(n-1)-336*a(n-2)+512*a(n-3) for n>2.
G.f.: -6*(88*x+1) / ((2*x-1)*(8*x-1)*(32*x-1)).
(End)
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MAPLE
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with(orthopoly):seq(U(5, 2^i), i=0..24);
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MATHEMATICA
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PROG
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(PARI) Vec(-6*(88*x+1)/((2*x-1)*(8*x-1)*(32*x-1)) + O(x^100)) \\Colin Barker,May 03 2015
(PARI) a(n) = polchebyshev(5, 2, 2^n) \\Michel Marcus,May 03 2015
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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