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Search: id:A083687
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| A083687 |
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Numerator 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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3
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| 1, 5, 7, 761, 671, 4572347, 1171733, 518413759, 32956355893, 1949885751497, 21495895979, 63715389517501781, 22630025105469577, 36899945775958445129, 517210776697519633301437, 4518133367201930332907311663
(list; graph; listen)
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OFFSET
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1,2
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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)=numerator((-1)^(n+1)*bernfrac(2*n)*sum(k=1, 2*n, 1/k)/n)
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CROSSREFS
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Cf. A083688.
Sequence in context: A020467 A089344 A114363 this_sequence A101829 A056252 A090817
Adjacent sequences: A083684 A083685 A083686 this_sequence A083688 A083689 A083690
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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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