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Search: id:A064168
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| A064168 |
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Sum of numerator and denominator in n-th harmonic number, 1 + 1/2 + 1/3 +...+ 1/n. |
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+0
3
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| 2, 5, 17, 37, 197, 69, 503, 1041, 9649, 9901, 111431, 113741, 1506353, 1532093, 1556117, 3157279, 54394463, 18358381, 352893319, 71354639, 24031221, 24266365, 563299563, 1704771547, 42976237267, 43319457067, 392849685203, 395718022103
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Numerator and denominator in definition have no common factors >1.
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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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The 3rd harmonic number is 11/6. So a(3) = 11 + 6 = 17.
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MAPLE
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h:=n->numer(sum(1/k, k=1..n))+denom(sum(1/k, k=1..n)): seq(h(n), n=1..30); (Deutsch)
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CROSSREFS
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Sequence in context: A078324 A002496 A127436 this_sequence A118727 A042361 A114300
Adjacent sequences: A064165 A064166 A064167 this_sequence A064169 A064170 A064171
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KEYWORD
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nonn,easy
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AUTHOR
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Leroy Quet Sep 19 2001
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 18 2004
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