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Search: id:A002779
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| A002779 |
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Palindromic squares.
(Formerly M3371 N1358)
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+0
9
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| 0, 1, 4, 9, 121, 484, 676, 10201, 12321, 14641, 40804, 44944, 69696, 94249, 698896, 1002001, 1234321, 4008004, 5221225, 6948496, 100020001, 102030201, 104060401, 121242121, 123454321, 125686521, 400080004, 404090404, 522808225
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
G. J. Simmons, Palindromic powers, J. Rec. Math., 3 (No. 2, 1970), 93-98.
G. J. Simmons, On palindromic squares of non-palindromic numbers, J. Rec. Math., 5 (No. 1, 1972), 11-19.
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LINKS
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P. De Geest, Palindromic Squares
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
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676 is included because it is both a perfect square and a palindrome.
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MATHEMATICA
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PalindromeQ = ((# // IntegerDigits // Reverse // FromDigits) == #) &; Select[Table[n^2, {n, 0, 10000}], PalindromeQ] - Herman Beeksma (herman(AT)beeksma.nl), Jul 14 2005
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CROSSREFS
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Cf. A002778, A002113.
Sequence in context: A115667 A158642 A131760 this_sequence A028817 A057136 A048411
Adjacent sequences: A002776 A002777 A002778 this_sequence A002780 A002781 A002782
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KEYWORD
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nonn,base,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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