A114468 Number of decimal digits in the denominator of the 10^n-th harmonic number.

1, 4, 40, 433, 4345, 43450, 434110, 4342302, 43428678

Offset: 0

Author

Eric W. Weisstein, Nov 29 2005

Keywords

• nonn
• base
• more

Comments

These numbers converge to the decimal expansion of log_10(e) = 0.43429448...

Links

• J. Sondow and E. W. Weisstein, MathWorld: Harmonic Number

Crossrefs

Cf. A001008, A002805, A114467.

Programs

Python

from gmpy2 import digits, mpq
def a(n): return len(digits(sum(mpq(1, n) for n in range(1, 10**n+1)).denominator))
print([a(n) for n in range(6)]) # Michael S. Branicky, Jun 22 2023

Extensions

Edited by Charles R Greathouse IV, Aug 05 2010