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A002778 Numbers whose square is a palindrome.
(Formerly M0907 N0342)
+0
9
0, 1, 2, 3, 11, 22, 26, 101, 111, 121, 202, 212, 264, 307, 836, 1001, 1111, 2002, 2285, 2636, 10001, 10101, 10201, 11011, 11111, 11211, 20002, 20102, 22865, 24846, 30693, 100001, 101101, 110011, 111111, 200002, 798644, 1000001, 1001001 (list; graph; listen)
OFFSET

1,3

REFERENCES

M. Keith, Classification and enumeration of palindromic squares, J. Rec. Math., 22 (No. 2, 1990), 124-132.

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.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

P. De Geest, Palindromic Squares

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A002779, A002113.

Sequence in context: A097895 A023182 A049083 this_sequence A028816 A128921 A118595

Adjacent sequences: A002775 A002776 A002777 this_sequence A002779 A002780 A002781

KEYWORD

base,nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Patrick De Geest (pdg(AT)worldofnumbers.com).

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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