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A060087 Numbers n such that n^2 is a palindromic square with an asymmetric root. 2

%I

%S 1109111,110091011,111091111,10109901101,10110911101,11000910011,

%T 11010911011,11100910111,1010099010101,1010109110101,1011099011101,

%U 1100009100011,1101009101011,1110009100111,100109990011001

%N Numbers n such that n^2 is a palindromic square with an asymmetric 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="http://www.worldofnumbers.com/subsquar.htm">Subsets of Palindromic Squares</a>

%Y Cf. A060088, A007573, A059744, A059745.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Feb 15 2001.

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Last modified July 24 05:21 EDT 2019. Contains 325290 sequences. (Running on oeis4.)