%I #31 Aug 11 2024 14:41:30
%S 1033364331,1334633301,1003303631331,1331363033001,1000330036301331,
%T 1003033061330301,1003333697667631,1030331603303001,1030637669664331,
%U 1331036300330001,1334669667360301,1367667963333001,1000033000363001331,1000303030604030301,1000333036964367631
%N Nonpalindromic cubes remaining cubic which written backwards: take the cube root of n, reverse its digits, cube that and the result is n with its digits reversed.
%C Cubes with trailing zeros are excluded.
%H P. De Geest, <a href="https://www.worldofnumbers.com/cube.htm">Palindromic Cubes</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CubicNumber.html">Cubic Number</a>
%H <a href="/index/Sq#sqrev">Index entry for sequences related to reversing digits of squares</a>
%e 1011^3 = 1033364331 -> 1334633301 = 1101^3.
%e 1003333697667631 is included because its cube root, 100111, when reversed (i.e., 111001) and cubed yields 1367667963333001.
%o (PARI) isok(n) = {if (ispower(n, 3, &k), dn = digits(n); if (Vecrev(dn) != dn, dk = Vecrev(digits(k)); rk = subst(Pol(dk, x), x, 10); digits(rk^3) == Vecrev(dn);););} \\ _Michel Marcus_, Oct 04 2015
%Y Cf. A035090, A035125, A064021, A319389.
%K nonn,base
%O 1,1
%A _Patrick De Geest_, Nov 15 1998
%E More terms from _Seiichi Manyama_, Sep 18 2018