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 A087988 Palindromic numbers whose squares and cubes are equally palindromic. 0
 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; text; internal format)
 OFFSET 1,3 COMMENTS Numbers n such that n, n^2 and n^3 are all palindromes. Essentially A002780 with two terms removed, 7 and 2201. LINKS Table of n, a(n) for n=1..27. EXAMPLE 11^2=121, 11^3=1331. 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, May 01 2005 PROG (PARI) ispal(n) = my(d = digits(n)); Vecrev(d) == d; isok(n) = ispal(n) && ispal(n^2) && ispal(n^3); \\ Michel Marcus, Oct 25 2015 CROSSREFS Cf. A002779, A002781. Intersection of A002113, A002778 and A002780. Sequence in context: A083394 A263611 A256495 * A072382 A038136 A048662 Adjacent sequences: A087985 A087986 A087987 * A087989 A087990 A087991 KEYWORD nonn,base AUTHOR Labos Elemer, Oct 01 2003 EXTENSIONS More terms from Ray Chandler, Oct 05 2003 Edited by N. J. A. Sloane, Aug 29 2008 at the suggestion of R. J. Mathar STATUS approved

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Last modified June 17 00:51 EDT 2024. Contains 373432 sequences. (Running on oeis4.)