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%I #7 Aug 11 2024 14:41:33
%S 1230127210321,12120030703002121,12341234943214321,
%T 102210100272001012201,102230523292325032201,121020021070120020121,
%U 121240161292161042121,123230205292502032321,1020300010207020100030201
%N Palindromic squares with an asymmetric square root.
%C With 'asymmetric' is meant almost palindromic with a 'core' (pseudo-palindromic). The core '09' when transformed into '1n' (n=-1) makes the base number palindromic. E.g., 1109111 is in fact 11_09_111 -> 11_(10-1)_111 -> 11_1n_111 -> 111n111 and palindromic. Similarly core 099 becomes 10n, core 0999 becomes 100n, etc.
%D M. Keith, "Classification and Enumeration of Palindromic Squares," Journal of Recreational Mathematics, 22:2, pp. 124-132, 1990.
%H P. De Geest, <a href="https://www.worldofnumbers.com/subsquar.htm">Subsets of Palindromic Squares</a>
%Y Cf. A060087, A007573, A059744, A059745.
%K nonn,base
%O 1,1
%A _Patrick De Geest_, Feb 15 2001