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A057868
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Denominator of "modified Bernoulli number" b(2n) = Bernoulli(2*n)/(2*n*n!).
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1
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48, 5760, 362880, 19353600, 958003200, 31384184832000, 2092278988800, 341459930972160000, 183927391818153984000, 32114306507931648000000, 620448401733239439360000, 81303558563123696133734400000
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..12.
D. Bar-Natan, T. T. Q. Le and D. P. Thurston, Two applications of elementary knot theory ... Geometry and Topology 7-1 (2003) 1-31.
Eric Weisstein's World of Mathematics, Modified Bernoulli Numbers.
Index entries for sequences related to Bernoulli numbers.
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EXAMPLE
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The sequence of modified Bernoulli numbers begins 1/48, -1/5760, 1/362880, -1/19353600, 1/958003200, -691/31384184832000, ...
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MATHEMATICA
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a[n_] := Denominator[ BernoulliB[2n] / (8n^2*(2n-1)!)];
Table[a[n], {n, 1, 12}] (* Jean-François Alcover, Jun 07 2012 *)
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CROSSREFS
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Numerators are in A001067.
Sequence in context: A174755 A222846 A114721 * A130417 A123478 A225786
Adjacent sequences: A057865 A057866 A057867 * A057869 A057870 A057871
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KEYWORD
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nonn,frac
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AUTHOR
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Eric W. Weisstein
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STATUS
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approved
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