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A057868 Denominator of "modified Bernoulli number" b(2n) = Bernoulli(2*n)/(2*n*n!). 1
48, 5760, 362880, 19353600, 958003200, 31384184832000, 2092278988800, 341459930972160000, 183927391818153984000, 32114306507931648000000, 620448401733239439360000, 81303558563123696133734400000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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.

EXAMPLE

The sequence of modified Bernoulli numbers begins 1/48, -1/5760, 1/362880, -1/19353600, 1/958003200, -691/31384184832000, ...

MATHEMATICA

a[n_] := Denominator[ BernoulliB[2n] / (8n^2*(2n-1)!)];

Table[a[n], {n, 1, 12}] (* Jean-Fran├žois Alcover, Jun 07 2012 *)

CROSSREFS

Numerators are in A001067.

Sequence in context: A222846 A265666 A114721 * A269179 A276098 A233242

Adjacent sequences:  A057865 A057866 A057867 * A057869 A057870 A057871

KEYWORD

nonn,frac

AUTHOR

Eric W. Weisstein

STATUS

approved

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Last modified August 6 19:52 EDT 2020. Contains 336256 sequences. (Running on oeis4.)