A077406 In base 3: n sets a new record for the number of Reverse and Add! steps needed to reach a palindrome starting with n.

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

Offset: 1

Author

Klaus Brockhaus, Nov 05 2002

Keywords

• base
• more
• nonn

Comments

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.

Examples

			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.
		

Links

• N. J. A. Sloane, Transforms
• Index entries for sequences related to Reverse and Add!

Crossrefs

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

Extensions

a(14) from Sean A. Irvine, Apr 19 2010