[seqfan] Re: Proof of the A186080 conjecture
Matevž Markovič
matevz.markovic.v at gmail.com
Sun Mar 6 23:12:07 CET 2011
Hy!
Mr. Dale, you gave me the sequence of squares. My conjecture is:
(taken from http://oeis.org/A186080)
"If k^4 is a palindrome > 0, then k begins and ends with digit 1, all other
digits of k being 0."
Simmons verified it up to 10^14 (see the link on the A186080 page).
k^4 is a palindrome only for k = 1,11,101,1001,... (sequence taken from
http://oeis.org/A056810)
I need help with the proof of the conjecture: A186080
proof<https://oeis.org/A186080/a186080_1.txt>
Thank you for your time,
Matevž Markovič
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