A103670 - OEIS

%I #13 May 13 2013 01:48:24

%S 0,1,2,3,4,5,8,23,117,155,1410,3702

%N Smallest m such that A102730(m) = n.

%C Reinhard Zumkeller conjectures (at A102730) that this sequence is finite. I conjecture the contrary, that a(n) exists for every n.  Further, I expect a(n) << n^n. [_Charles R Greathouse IV_, Aug 21 2011]

%e a(6) = 5: A102730(5) = #{0,1,2,3,4,5} = 6;

%e a(7) = 8: A102730(8) = #{0,1,2,3,4,7,8} = 7;

%e a(8) = 23: A102730(23) = #{0,1,2,3,4,5,6,23} = 8;

%e a(9) = 117: A102730(117) = #{0,1,2,3,4,5,6,7,117} = 9;

%e a(10) = 155: A102730(155) = #{0,1,2,3,4,5,6,7,8,155} = 10.

%K nonn,hard

%O 1,3

%A _Reinhard Zumkeller_, Feb 12 2005

%E a(11) and a(12) from _D. S. McNeil_, Aug 21 2011