OFFSET
1,3
COMMENTS
The first 47 terms of this sequence (from 0 to 58564) are identical to the first 47 terms of A325148. The square 63504 is not present because it can be expressed in two ways: 63504 = 252 * 252 = 144 * 441.
There are three families of squares in this sequence:
2) Squares of non-palindromes which form the sequence A325151.
These squares are a subsequence of A076750.
REFERENCES
D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition, p. 168.
LINKS
Chai Wah Wu, Table of n, a(n) for n = 1..10000
EXAMPLE
For each family:
1) Square of palindromes: 53824 = 232^2 = 232 * 232.
2) Square of non-palindromes m^2 = k*rev(k) with k and rev(k) which have the same number of digits: 162409 = 403^2 = 169 * 961.
3) Square ends with zeros: 48400 = 220^2 = 2200 * 22.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Bernard Schott, Apr 03 2019
EXTENSIONS
a(52) corrected by Chai Wah Wu, Apr 11 2019
Definition corrected by N. J. A. Sloane, Aug 01 2019
STATUS
approved