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A087988
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Palindromic numbers whose squares and cubes are equally palindromic.
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0
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0, 1, 2, 11, 101, 111, 1001, 10001, 10101, 11011, 100001, 101101, 110011, 1000001, 1001001, 1100011, 10000001, 10011001, 10100101, 11000011, 100000001, 100010001, 100101001, 101000101, 110000011, 1000000001, 1000110001
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Numbers n such that n, n^2 and n^3 are all palindromes.
Essentially A002780 with two terms removed, 7 and 2201.
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EXAMPLE
| 11^2=121,11^3=1331.
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MAPLE
| rev:=proc(a) local aa, ct: aa:=convert(a, base, 10): ct:=nops(aa): add(10^(ct-j)*aa[j], j=1..ct) end: p:=proc(n) if rev(n)=n and rev(n^2)=n^2 and rev(n^3)=n^3 then n else fi end: seq(p(n), n=0..12*10^5); - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 01 2005
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CROSSREFS
| Cf. A002779, A002781.
Intersection of A002113, A002778 and A002780.
Sequence in context: A003021 A097463 A083394 * A072382 A038136 A048662
Adjacent sequences: A087985 A087986 A087987 * A087989 A087990 A087991
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KEYWORD
| nonn,base
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Oct 01 2003
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EXTENSIONS
| More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 05 2003
Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 29 2008 at the suggestion of R. J. Mathar
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