A306600 In base 8, records for the number of 'Reverse and Add' steps needed to reach a palindrome.

0, 1, 2, 3, 6, 14, 17, 19, 21, 22, 23, 29, 30, 36, 46, 59, 60, 64, 67, 94, 95, 97, 120, 122, 133, 164

Offset: 0

Author

A.H.M. Smeets, Feb 27 2019

Keywords

• nonn
• base
• more

Comments

It is conjectured that if a Reverse and Add! trajectory reaches a palindrome, it will be reached in relatively few steps, or otherwise it will never reach a palindrome.

For all n, all numbers m < A306599(n) will reach a palindrome within a(n) Reverse and Add! steps, or otherwise it is conjectured never to reach a palindrome.

Crossrefs

Record setting numbers in A306599.

Base 10: A065198 and A065199.

Extensions

a(21)-a(25) from A.H.M. Smeets, May 30 2019