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

1,2

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.

Links

Table of n, a(n) for n=1..14.

N. J. A. Sloane, Transforms

Index entries for sequences related to Reverse and Add!

Example

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.

Crossrefs

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

Sequence in context: A001317 A053576 A197818 * A054432 A016043 A077403

Adjacent sequences: A077403 A077404 A077405 * A077407 A077408 A077409

Keyword

base,more,nonn

Author

Klaus Brockhaus, Nov 05 2002

Extensions

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

Status

approved