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Search: id:A139001
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| A139001 |
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Partial sums of A055573 = number of terms in continued fraction of H(n)=sum(1/k,k=1..n). |
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+0
3
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| 1, 3, 6, 8, 13, 17, 23, 30, 40, 48, 55, 65, 80, 89, 98, 115, 133, 144, 164, 180, 198, 216, 239, 258, 282, 307, 331, 357, 386, 407, 431, 454, 480, 505, 537, 571, 604, 630, 654, 685, 717, 748, 784, 820, 859, 891, 925, 967, 1014, 1058, 1104, 1139, 1179, 1227, 1270
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Sequence A100398 holds the array having as n-th row the continued frac. of H(n); a(n) is the last term of the n-th row, and accordingly, a(n-1)+1 is the index where the n-th row starts.
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LINKS
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M. F. Hasler, Table of n, a(n) for n = 1..500
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FORMULA
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a(n) = sum_{k=1..n} A055573(k)
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PROGRAM
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(PARI) h=s=0; vector(100, n, s+=#contfrac(h+=1/n))
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CROSSREFS
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Cf. A001008, A002805, A055573, A058027, A100398, A110020, A112286, A112287.
Adjacent sequences: A138998 A138999 A139000 this_sequence A139002 A139003 A139004
Sequence in context: A046669 A046670 A131383 this_sequence A090961 A073355 A067440
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KEYWORD
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nonn
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AUTHOR
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M. F. Hasler (www.univ-ag.fr/~mhasler), May 31 2008
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