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Search: id:A003166
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| A003166 |
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Numbers whose square in base 2 is a palindrome.
(Formerly M3181)
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+0
2
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| 0, 1, 3, 4523, 11991, 18197, 141683, 1092489, 3168099, 6435309, 12489657, 17906499, 68301841, 295742437, 390117873, 542959199, 4770504939, 17360493407, 73798050723, 101657343993, 107137400475, 202491428745, 1615452642807
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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G. J. Simmons, On palindromic squares of non-palindromic numbers, J. Rec. Math., 5 (No,1, 1972), 11-19.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Jon E. Schoenfield, Table of n, a(n) for n=1..31
P. De Geest, Palindromic Squares
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EXAMPLE
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3^2 = 9 = 1001 (base 2) = palindrome.
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MATHEMATICA
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Do[c = RealDigits[n^2, 2][[1]]; If[c == Reverse[c], Print[n]], {n, 0, 10^9}]
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CROSSREFS
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Cf. A029983.
Sequence in context: A136544 A024048 A094319 this_sequence A168556 A171362 A034317
Adjacent sequences: A003163 A003164 A003165 this_sequence A003167 A003168 A003169
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KEYWORD
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base,nonn,hard,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), R. H. Hardin
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EXTENSIONS
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a(16) = 4770504939 found by Patrick De Geest (pdg(AT)worldofnumbers.com), May 15 1999.
Terms beyond a(16) from Jon E. Schoenfield (jonscho(AT)hiwaay.net), May 08 2009
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