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Search: id:A083688
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| A083688 |
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Denominator of B(2n)*H(2n)/n*(-1)^(n+1) where B(k) is the k-th Bernoulli number and H(k) the k-th harmonic number. |
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+0
2
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| 4, 144, 360, 33600, 15120, 34927200, 2162160, 172972800, 1543782240, 10242872640, 10346336, 2338727174784, 53542288800, 4818805992000, 3228118134040800, 1178332991611776000, 78765574305600
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Ira Gessel, On Miki's identy for Bernoulli numbers J. Number Theory 110 (2005), no. 1, 75-82.
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FORMULA
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Miki's identity : B(n)*H(n)*(2/n) = sum(i=2, n-2, B(i)/i*B(n-i)/(n-i)*(1-C(n, i)))
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PROGRAM
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(PARI) a(n)=denominator((-1)^(n+1)*bernfrac(2*n)*sum(k=1, 2*n, 1/k)/n)
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CROSSREFS
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Cf. A083687.
Sequence in context: A119038 A048432 A122422 this_sequence A053899 A058414 A053891
Adjacent sequences: A083685 A083686 A083687 this_sequence A083689 A083690 A083691
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KEYWORD
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frac,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 15 2003
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