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A003414
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a(n) = floor( Bernoulli(2*n)/(-4*n) ).
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2
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-1, 0, -1, 0, -1, 0, -1, 0, -2, 13, -141, 1803, -27414, 487468, -10026348, 236192433, -6317862398, 190439655626, -6425425249653, 241207241774250, -10020155328258127, 458387180159766538, -22989944171828251746, 1259023596072554784854, -75008667460769643668558
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OFFSET
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1,9
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REFERENCES
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F. Hirzebruch et al., Manifolds and Modular Forms, Vieweg, 2nd ed. 1994, p. 130.
D. C. Ravenel, Complex cobordism theory for number theorists, Lecture Notes in Mathematics, 1326, Springer-Verlag, Berlin-New York, 1988, pp. 123-133.
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LINKS
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EXAMPLE
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a(10) = 13 because the 20th (2 * 10) Bernoulli number is -174611/330, and that divided by (-4) * 10 is approximately 13.2281.
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MATHEMATICA
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Table[Floor[BernoulliB[2n]/(-4n)], {n, 24}] (* Alonso del Arte, Jul 11 2012 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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