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A059744 Numbers k such that k^2 is a palindromic square of sporadic type.

%I A059744 #35 Oct 03 2023 21:20:23
%S A059744 26,264,307,836,2285,2636,22865,24846,30693,798644,1042151,1270869,
%T A059744 2012748,2294675,3069307,11129361,12028229,12866669,30001253,64030648,
%U A059744 306930693,2062386218,2481623254,10106064399,10207355549,13579355059,22865150135,30101273647,30693069307
%N A059744 Numbers k such that k^2 is a palindromic square of sporadic type.
%D A059744 C. Ashbacher, More on palindromic squares, J. Rec. Math. 22, no. 2 (1990), 133-135. [A scan of the first page of this article is included with the last page of the Keith (1990) scan]
%D A059744 J. K. R. Barnett, "Tables of Square Palindromes in Bases 2 and 10," Journal of Recreational Mathematics, 23:1, pp. 13-18, 1991.
%D A059744 J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 26, pp 10, Ellipses, Paris 2008.
%D A059744 M. Keith, "Classification and Enumeration of Palindromic Squares," Journal of Recreational Mathematics, 22:2, pp. 124-132, 1990.
%D A059744 R. Ondrejka, "A Palindrome (151) of Palindromic Squares," Journal of Recreational Mathematics, 20:1, pp. 68-71, 1988.
%H A059744 Patrick De Geest, <a href="https://www.worldofnumbers.com/allsposqua.htm">Full List of the Sporadic Square Palindromes (SSP)</a>, part of Palindromic Squares website on WorldOfNumbers.
%H A059744 M. Keith, <a href="/A002778/a002778_1.pdf">Classification and enumeration of palindromic squares</a>, J. Rec. Math., 22 (No. 2, 1990), 124-132. [Annotated scanned copy] (Has ten more terms)
%H A059744 W. R. Marshall, <a href="https://web.archive.org/web/20020614225321/http://www.geocities.com/williamrexmarshall/math/palsq.html">Table up to 10^20</a>
%t A059744 Select[Range[1042151], ! PalindromeQ[#] && PalindromeQ[#^2] &] (* _Michael De Vlieger_, Oct 03 2023, not suitable for terms > 1042151, needs amendment for larger terms *)
%Y A059744 Cf. A059745, A016106, A028818, A060087.
%K A059744 nonn,base
%O A059744 1,1
%A A059744 _N. J. A. Sloane_, Feb 21 2001
%E A059744 More terms from WorldOfNumbers website, communicated by _Hugo Pfoertner_, Oct 03 2023