A096618 Least k such that H(k) >= 10^n, where H(k) is the harmonic number Sum_{i=0..k} 1/i.

1, 12367, 15092688622113788323693563264538101449859497

Offset

1,2

Comments

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

Except for the first term, identical to A082912.

Links

Table of n, a(n) for n=1..3.

R. P. Boas, Jr. and J. W. Wrench, Jr., Partial sums of the harmonic series, Amer. Math. Monthly, 78 (1971), 864-870.

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

Crossrefs

Cf. A004080, A082912.

Sequence in context: A238051 A234919 A183693 * A238308 A179916 A236426

Adjacent sequences: A096615 A096616 A096617 * A096619 A096620 A096621

Keyword

nonn,bref

Author

Eric W. Weisstein, Jul 01 2004

Status

approved