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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

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]

J. K. R. Barnett, "Tables of Square Palindromes in Bases 2 and 10," Journal of Recreational Mathematics, 23:1, pp. 13-18, 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. 124-132, 1990.

R. Ondrejka, "A Palindrome (151) of Palindromic Squares," Journal of Recreational Mathematics, 20:1, pp. 68-71, 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), 124-132. [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

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Last modified January 24 04:31 EST 2018. Contains 298115 sequences.