%I #9 Oct 02 2014 05:03:28
%S 1,1,244,1,23,4,1,1,3494,1,68058,4,20,18,35,1,4,14,32,13,21,1,5,22,
%T 172,7,8,1,1,28,14,19,2,178,15,227,2,6,109,1,22,122,47,22,126,1,43,60,
%U 41,18,24,1,13,23,21,24,126,1,152,6
%N Least positive integer m such that m + n divides M(m) + M(n), where M(.) is given by A001006.
%C Conjecture: a(n) exists for any n > 0.
%H Zhi-Wei Sun, <a href="/A248137/b248137.txt">Table of n, a(n) for n = 1..2187</a>
%e a(5) = 23 since 5 + 23 = 28 divides M(5) + M(23) = 21 + 1129760415 = 1129760436 = 28*40348587.
%t M[n_]:=Sum[Binomial[n,2k]Binomial[2k,k]/(k+1),{k,0,n/2}]
%t Do[m=1;Label[aa];If[Mod[M[m]+M[n],m+n]==0,Print[n," ",m];Goto[bb]];m=m+1;Goto[aa];Label[bb];Continue,{n,1,60}]
%Y Cf. A001006, A247824, A247937, A247940, A248124, A248125, A248133, A248136, A248139, A248142.
%K nonn
%O 1,3
%A _Zhi-Wei Sun_, Oct 02 2014