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A036243
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Denominator of fraction equal to the continued fraction [ 0, 2, 4, ...2n ].
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7
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1, 2, 9, 56, 457, 4626, 55969, 788192, 12667041, 228794930, 4588565641, 101177239032, 2432842302409, 63355077101666, 1776375001149057, 53354605111573376, 1709123738571497089, 58163561716542474402, 2095597345534100575561
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = b(n+1) where b(n) = K(n,1)*I(0,1) - (-1)^n*I(n,1)*K(0,1), K(n,x) and I(n,x) Bessel functions. - Peter Luschny, Sep 14 2014
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MAPLE
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b := n -> BesselK(n, 1)*BesselI(0, 1)-(-1)^n*BesselI(n, 1)* BesselK(0, 1);
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MATHEMATICA
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Table[Denominator[FromContinuedFraction[Range[0, 2n, 2]]], {n, 0, 20}] (* Harvey P. Dale, Feb 18 2016 *)
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PROG
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(PARI) a(n)=contfracpnqn(vector(n+1, i, 2*i-2))[2, 1];
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CROSSREFS
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KEYWORD
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frac,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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