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Search: id:A111047
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| A111047 |
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Product of continued fraction terms of H(n) = sum{k=1..n} 1/k. |
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+0
1
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| 1, 2, 5, 24, 48, 32, 100, 140, 840, 1872, 54000, 12960, 51840, 533871, 322371, 31104, 709632, 1921500, 4147200, 3701376, 124416, 262080, 2488320, 21811680, 403107840, 146966400, 2538086400, 1074954240, 14370048000, 415704960000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The last term of each continued fraction is considered to be >=2, for n>=2.
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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1 + 1/2 + 1/3+ 1/4 + 1/5 + 1/6 = 49/20 = 2 + 1/(2 + 1/(4 +1/2)), so the 6th term of the sequence is 2*2*4*2 = 32.
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PROGRAM
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(PARI) for(n=1, 30, v=contfrac(sum(k=1, n, 1/k)); print1(prod(j=1, length(v), v[j]), ", "))
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CROSSREFS
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Cf. A100398, A058027.
Sequence in context: A137094 A130379 A047147 this_sequence A068964 A010365 A012262
Adjacent sequences: A111044 A111045 A111046 this_sequence A111048 A111049 A111050
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Oct 06 2005
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EXTENSIONS
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More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 08 2005
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