OFFSET
1,1
COMMENTS
Obviously, for all n, a(n) is greater than one. According to the definition of a(n) for all n, A002386(n+1) < a(n)*A002386(n). So if n is less than 79 and not equal to 64, then A002386(n+1) < 8*A002386(n). [Updated John W. Nicholson, Nov 28 2019]
The strictly increasing terms of the sequence: 2, 3, 4, 5, 8, 26, ?, ... .
Record values are {2, 3, 4, 5, 8, 26} = {a(1), a(2), a(3), a(6), a(10), a(64)}.
A very difficult question: "What is the next term of the above sequence?" namely "What is the next term of the sequence which is greater than a(64) = 26 ?". I don't think that in this century anyone can find the answer.
CROSSREFS
KEYWORD
nonn,more,hard
AUTHOR
Farideh Firoozbakht, Oct 08 2014
STATUS
approved