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Search: id:A097424
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| A097424 |
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Denominator of product{k=1 to n} H(k), where H(k) = sum{j=1 to k} 1/j, the k_th harmonic number. |
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+0
3
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| 1, 2, 4, 48, 576, 2304, 15360, 614400, 1548288000, 3901685760000, 9832248115200000, 24777265250304000000, 62438708430766080000000, 157345545245530521600000000, 5154640062243579887616000000000
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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(1)(1 +1/2)(1 +1/2 +1/3) = 1*(3/2)*(11/6) = 11/4,
so a(3) = 4.
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MATHEMATICA
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a[n_] := Denominator[ Product[ HarmonicNumber[k], {k, 1, n}]]; Table[ a[n], {n, 14}] (from Robert G. Wilson v Aug 26 2004)
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PROGRAM
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(PARI) hh(n)=sum(i=1, n, 1/i); ff(n)=denominator(prod(i=1, n, hh(i))); for (i=1, 30, print1(ff(i), ", ")) (Bouayoun)
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CROSSREFS
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Cf. A097423.
Adjacent sequences: A097421 A097422 A097423 this_sequence A097425 A097426 A097427
Sequence in context: A099804 A019596 A088301 this_sequence A032019 A085325 A082661
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KEYWORD
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frac,nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Aug 21 2004
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EXTENSIONS
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More terms from Mohammed Bouayoun (mohammed.bouayoun(AT)sanef.com) and Robert G. Wilson v, Aug 23 2004
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