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A072217 Consider the Reverse and Add! problem (cf. A001127); of all the n-digit numbers N which eventually reach a palindrome, pick that number N which takes the greatest number of steps to converge (in case of a tie, pick the smallest N); sequence gives number of steps N takes to converge. +0
3
2, 24, 23, 21, 55, 64, 96, 96, 98, 109, 149, 149, 188, 186, 201, 197, 236, 232 (list; graph; listen)
OFFSET

1,1

COMMENT

Since we do not even know if 196 eventually converges (see A006960, A023108) for n >= 3 these values are only conjectures.

LINKS

Jason Doucette, World records

Index entries for sequences related to Reverse and Add!

CROSSREFS

Cf. A072216, A072218, A001127, A006960, A023108.

Adjacent sequences: A072214 A072215 A072216 this_sequence A072218 A072219 A072220

Sequence in context: A002743 A055535 A132169 this_sequence A052686 A064818 A022374

KEYWORD

nonn,hard,base

AUTHOR

njas, Jul 05 2002

EXTENSIONS

Corrected and extended by Jason Doucette, Mar 29 2005; Oct 09 2005

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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