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A139001
Partial sums of A055573 = number of terms in continued fraction of H(n)=sum(1/k,k=1..n).
3
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
OFFSET
1,2
COMMENTS
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.
LINKS
FORMULA
a(n) = sum_{k=1..n} A055573(k)
PROG
(PARI) h=s=0; vector(100, n, s+=#contfrac(h+=1/n))
KEYWORD
nonn
AUTHOR
M. F. Hasler, May 31 2008
STATUS
approved