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A043304
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Denominator of B(4n+2)/(8n+4) where B(m) are the Bernoulli numbers.
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2
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504, 264, 24, 28728, 552, 24, 171864, 24, 24, 151704, 1128, 264, 86184, 1416, 24, 776664, 18744, 24, 39816, 1992, 24, 9796248, 24, 24, 51912, 2568, 66792, 504, 24, 24, 1098185256, 34584, 24, 3292632, 24, 24, 25951464, 552, 24, 42143976, 4008
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OFFSET
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1,1
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REFERENCES
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Bruce Berndt, Ramanujan's Notebooks Part II, Springer-Verlag; see Infinite series, p. 262.
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LINKS
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FORMULA
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B(4n+2)/(8n+4) = Sum_{k>=1} k^(4n+1)/(exp(2Pi*k)-1).
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MATHEMATICA
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Denominator[Table[BernoulliB[4n+2]/(8n+4), {n, 50}]] (* Harvey P. Dale, Sep 30 2012 *)
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PROG
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(PARI) a(n) = denominator(bernfrac(4*n+2)/(8*n+4)); \\ Michel Marcus, Feb 16 2021
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CROSSREFS
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KEYWORD
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easy,frac,nonn
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AUTHOR
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STATUS
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approved
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