A087988 Palindromic numbers whose squares and cubes are equally palindromic.

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

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 * A386021 A072382 A038136

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