[seqfan] Which palindromes are fourth powers?
Neil Sloane
njasloane at gmail.com
Sat Oct 24 00:58:11 CEST 2015
Dear Sequence Fans, A056810 gives numbers n such that n^4 is a palindrome.
The initial terms were calculated by Bob Wilson, back in the year 2000.
They are
0, 1, 11, 101, 1001, 10001, 100001, 1000001, 10000001, 100000001
The question is, is every term of the form 10^k+1?
It would be nice to have some more terms - or some theorems.
There is a claim that:
The sequence contains no term with digit sum 3. - Vladimir Shevelev, May 23
2011
but I don't know if this claim (which seems very plausible) has been
checked.
Best regards
Neil
Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com
More information about the SeqFan
mailing list