login
In base 3: n sets a new record for the number of Reverse and Add! steps needed to reach a palindrome starting with n.
2

%I #23 Feb 15 2019 03:09:37

%S 0,3,5,15,17,53,1466,9717,32857,37340,37366,37367,531773,1596329

%N In base 3: n sets a new record for the number of Reverse and Add! steps needed to reach a palindrome starting with n.

%C RECORDS transform of A077402. - Base-3 analog of A066144 (base 2), A075686 (base 4) and A065198 (base 10). Integers like 103, for which a palindrome is (presumably) never reached (cf. A077404), are of course disregarded. A077407 gives the corresponding records.

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H <a href="/index/Res#RAA">Index entries for sequences related to Reverse and Add!</a>

%e Starting with 15, 3 Reverse and Add! steps are needed to reach a palindrome; starting with n < 15, less (at most 2) steps are needed.

%Y Cf. A065198, A066144, A075686, A077402, A077404, A077407.

%K base,more,nonn

%O 1,2

%A _Klaus Brockhaus_, Nov 05 2002

%E a(14) from _Sean A. Irvine_, Apr 19 2010