%I #13 Mar 05 2014 15:39:13
%S 1,13,0,1164,15132,230484,2823492,36705396,508541124,7194470556,
%T 100696385244,1503091145388,19540184890044,273550891167372,
%U 3811871194625676,53378900339114532,727176010568075796,10177815744800162004,142523339476298463228,1994910930816765350844,27918212600229725023068
%N a(n) = smallest k such that sigma(k) = 14^n, or zero if no such k exists.
%H Max Alekseyev, <a href="/A180265/b180265.txt">Table of n, a(n) for n = 0..100</a>
%e a(0)=1 since sigma(1)=14^0=1. a(1)=13 since sigma(13)=14. a(2)=0 since no N exists such that sigma(N)=14^2. a(6)=2823492=2^2*3*7*33613 since sigma(2823492)=14^6 is the first 6th power. a(7)=36705396=2^2*3*7*13*33613 since sigma(36705396)=14^7 is the first 7th power.
%Y Cf. A046528, A048251, A110077, A180460, A180461, A180462, A180463, A180464
%K nonn
%O 0,2
%A _Walter Kehowski_, Aug 22 2010
%E Edited (including b-file) by _N. J. A. Sloane_, Oct 05 2010
%E Terms a(25) onward from _Max Alekseyev_, Mar 04 2014