%I A103285
%S A103285 1,1,2,3,5,9,16,29,53,97,179,333,623,1172,2215,4201,7992,15241,29122,
%T A103285 55745,106879,205223,394637,759973,1465589,2830273,5473068,10597365,
%U A103285 20544860,39876331,77481582,150700968,293380151,571619362,1114581628
%N A103285 Main diagonal of triangle A103284, in which row n+1 is formed by sorting, 
               in ascending order, the result of the convolution of row n with {1,
               1}.
%F A103285 a(n) ~ 2^n*log_2(n)/(4n).
%o A103285 (PARI) {a(n)=local(A=vector(n+1,i,vector(i)),B);A[1][1]=1; for(k=1,n,
               B=vector(k+1);B[1]=1;B[k+1]=A[k][k]; for(i=2,k,B[i]=A[k][i]+A[k][i-1]); 
               A[k+1]=vecsort(B));return(A[n+1][n+1])}
%Y A103285 Cf. A103284.
%Y A103285 Sequence in context: A054650 A022857 A000691 this_sequence A000049 A000050 
               A050253
%Y A103285 Adjacent sequences: A103282 A103283 A103284 this_sequence A103286 A103287 
               A103288
%K A103285 nonn
%O A103285 0,3
%A A103285 Paul D. Hanna (pauldhanna(AT)juno.com), Jan 28 2005