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A096618 Least k such that H(k) >= 10^n, where H(k) is the harmonic number sum_{i=0..k} 1/i. +0
3
1, 12367, 15092688622113788323693563264538101449859497 (list; graph; listen)
OFFSET

1,2

COMMENT

The next term is approx 1.10*10^434, which too large to include.

Except for the first term, identical to A082912.

REFERENCES

Boas, R. P. and Wrench, J. W. "Partial Sums of the Harmonic Series." Amer. Math. Monthly 78, 864-870, 1971.

LINKS

Eric Weisstein's World of Mathematics, High-Water Mark

CROSSREFS

Cf. A004080.

Sequence in context: A091341 A077298 A045080 this_sequence A140938 A061731 A068676

Adjacent sequences: A096615 A096616 A096617 this_sequence A096619 A096620 A096621

KEYWORD

nonn,bref

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jul 01, 2004

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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