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A171078
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Numerator of s_{2n}, where s_0 = 1, s_n = | 2^n*(2^(n-1)-1)*Bernoulli(n)/n! | for n>0.
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2
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1, 1, 7, 62, 127, 146, 2828954, 32764, 16931177, 11499383114, 183092554714, 13299018868, 3965530936622474, 88306001369044, 260212136880609068, 7400951287808330864888, 16555640865486520478399, 16179883156293315362, 58334570685127434999731256122
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OFFSET
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0,3
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REFERENCES
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F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer, 3rd. ed., 1966; p. 12, Eq. 11.
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LINKS
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Table of n, a(n) for n=0..18.
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FORMULA
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G.f.: (x*sec(x)^2/tan(x))/2=sum{n>=0, a(n)*x^(2*n)} - Vladimir Kruchinin, Feb 04 2013
a(n) = numerator(Zeta(2*n)*(4^n-2)/Pi^(2*n)). - Peter Luschny, Aug 11 2014
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EXAMPLE
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1, 1/3, 7/45, 62/945, 127/4725, 146/13365, 2828954/638512875, 32764/18243225, 16931177/23260111875, 11499383114/38979295480125, ...
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MAPLE
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A171078 := n -> numer(Zeta(2*n)*(4^n-2)/Pi^(2*n));
seq(A171078(n), n=0..18); # Peter Luschny, Aug 11 2014
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CROSSREFS
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Cf. A171079 (denominators).
Sequence in context: A145507 A254121 A047685 * A180776 A353099 A024089
Adjacent sequences: A171075 A171076 A171077 * A171079 A171080 A171081
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane, Sep 06 2010
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STATUS
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approved
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