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Search: id:A139036
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| A139036 |
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a(n) = the number of 1's in the continued fraction expansion of the nth harmonic number, H(n) = sum{k=1 to n} 1/k. |
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+0
1
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OFFSET
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1,3
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EXAMPLE
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The 7th harmonic number is 1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 = 363/140, which has the continued fraction representation 2 + 1/(1 + 1/(1 + 1/(2 + 1/(5 + 1/5)))) = [2;1,1,2,5,5]. There are exactly two 1's in the continued fraction representation, so a(7) = 2.
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CROSSREFS
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Cf. A100398.
Adjacent sequences: A139033 A139034 A139035 this_sequence A139037 A139038 A139039
Sequence in context: A085341 A063918 A097974 this_sequence A090330 A132747 A053399
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KEYWORD
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more,nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), May 31 2008
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