

A059744


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


8



26, 264, 307, 836, 2285, 2636, 22865, 24846, 30693, 798644, 1042151, 1270869, 2012748, 2294675, 3069307, 11129361, 12028229, 12866669, 30001253, 64030648, 306930693, 2062386218, 2481623254, 10106064399, 10207355549
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OFFSET

1,1


REFERENCES

C. Ashbacher, More on palindromic squares, J. Rec. Math. 22, no. 2 (1990), 133135. [A scan of the first page of this article is included with the last page of the Keith (1990) scan]
J. K. R. Barnett, "Tables of Square Palindromes in Bases 2 and 10," Journal of Recreational Mathematics, 23:1, pp. 1318, 1991.
J.M. De Koninck, Ces nombres qui nous fascinent, Entry 26, pp 10, Ellipses, Paris 2008.
M. Keith, "Classification and Enumeration of Palindromic Squares," Journal of Recreational Mathematics, 22:2, pp. 124132, 1990.
R. Ondrejka, "A Palindrome (151) of Palindromic Squares," Journal of Recreational Mathematics, 20:1, pp. 6871, 1988.


LINKS

Table of n, a(n) for n=1..25.
M. Keith, Classification and enumeration of palindromic squares, J. Rec. Math., 22 (No. 2, 1990), 124132. [Annotated scanned copy] (Has ten more terms)
W. R. Marshall, Table up to 10^20


MATHEMATICA

palQ[n_] := Block[{idn = IntegerDigits@n}, idn == Reverse@idn]; Select[ Range[10^6], ! palQ@# && palQ[#^2] &]


CROSSREFS

Cf. A059745, A016106, A028818.
Sequence in context: A136921 A042308 A251673 * A016106 A200041 A092723
Adjacent sequences: A059741 A059742 A059743 * A059745 A059746 A059747


KEYWORD

nonn,base,more


AUTHOR

N. J. A. Sloane, Feb 21 2001


STATUS

approved



