%I #10 Sep 05 2017 03:12:11
%S 2899999989,2989999899,2999889999,3799999899,3898989999,3899799999,
%T 3899999988,3979989999,3988899999,3989999898,3989999979,3998999889,
%U 3999889998,3999898989,3999899799,3999979989,3999988899,4699998999
%N Numbers k such that gcd(k, reverse(k)) = 81 = 3^4, where reverse(x) = A004086(x).
%C Numerous solutions can be constructed by inserting strings of suitable digits between digits of terms in A071016.
%e k = 3*3*3*3*3*449*64157 and reverse(k) = 2*2*3*3*3*3*31*67*14827, GCD = 81.
%Y Cf. A004086, A055483, A069554, A071686, A072005, A072016, A072018.
%K nonn,base
%O 1,1
%A _Labos Elemer_, Jun 05 2002
|