Reverse and add

franktaw at netscape.net franktaw at netscape.net
Thu Mar 30 03:30:02 CEST 2006


A060382 is similar to A066450; the difference apparently being that A060382 allows the sequence to start with a palindrome, while A066450 does not.  The sequences differ in the values shown only for n=3, 4, and 13, for all three of which A060382(n) is a palindrome in base n.  For n=3, the sequence joins that of A066450 in a few steps.  For n=4, the referenced article proves that the sequence avoids palindromes, and for n=13, no palindrome occurs for 27 steps.
 
It would be good if someone could verify and perhaps extend the values in A060382, cross-reference it to A066450, and change the description of A060382 to indicate that (most of) the values are conjectured as well as to indicate that palindromes are permitted for the start value.
 
Franklin T. Adams-Watters
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