A363836 a(n) = smallest number m such that digitsum(m^n) < digitsum(m), or -1 if no such m exists.

39, 587, 124499

Offset

2,1

Comments

a(n) > 0 when n is even (see MSE link).

a(5) > 10^12 or a(5) = -1. - Max Alekseyev, Jan 26 2024

Links

Table of n, a(n) for n=2..4.

Jeppe Stig Nielsen et al., Integers n for which the digit sum of n exceeds the digit sum of n^5, Math StackExchange, 2015.

Example

a(2) = A064399(1).
a(3) = A064209(1).
a(4) = A261439(1).

Crossrefs

Cf. A007953, A064399, A064209, A122484, A261439, A292832.

Sequence in context: A077454 A142976 A200409 * A341565 A034187 A059609

Adjacent sequences: A363833 A363834 A363835 * A363837 A363838 A363839

Keyword

nonn,base,bref,hard,more

Author

Max Alekseyev, Oct 19 2023

Status

approved