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In base 8, records for the number of 'Reverse and Add' steps needed to reach a palindrome.
3

%I #25 Jun 25 2021 01:40:19

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

%T 133,164

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

%C 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.

%C 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.

%Y Record setting numbers in A306599.

%Y Base 10: A065198 and A065199.

%K nonn,base,more

%O 0,3

%A _A.H.M. Smeets_, Feb 27 2019

%E a(21)-a(25) from _A.H.M. Smeets_, May 30 2019