OFFSET
1,1
COMMENTS
a(n+1) >= a(n).
a(n) = m * k^n where m is a positive integer and k is the sum of digits of a(n).
Conjecture: No term is a multiple of 5.
a(28) = 265^28, disproving the above conjecture. - Charles R Greathouse IV, Apr 02 2022
EXAMPLE
For n=5, 11101212 is not divisible by 10 but is divisible by the 5th power of the sum of its digits, that being (1+1+1+0+1+2+1+2)^5 = 9^5. There is no smaller such number.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Nicolas Bělohoubek, Mar 31 2022
EXTENSIONS
a(7)-a(8) confirmed by Jon E. Schoenfield, Mar 31 2022
a(9)-a(16) from Charles R Greathouse IV, Apr 02 2022
STATUS
approved