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Search: id:A087988
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| A087988 |
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Palindromic numbers whose squares and cubes are equally palindromic. |
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+0
1
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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; listen)
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OFFSET
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1,3
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COMMENT
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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
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11^2=121,11^3=1331.
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MAPLE
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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
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Cf. A002779, A002781.
Intersection of A002113, A002778 and A002780.
Adjacent sequences: A087985 A087986 A087987 this_sequence A087989 A087990 A087991
Sequence in context: A003021 A097463 A083394 this_sequence A072382 A038136 A048662
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KEYWORD
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nonn,base
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Oct 01 2003
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 05 2003
Edited by njas, Aug 29 2008 at the suggestion of R. J. Mathar
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