%I A077593
%S A077593 0,0,1,0,1,1,0,1,2,1,0,1,3,3,1,0,1,4,5,4,1,0,1,5,7,8,5,1,0,1,6,9,13,10,
%T A077593 6,1,0,1,7,11,19,16,14,7,1,0,1,8,13,26,23,25,16,8,1,0,1,9,15,34,31,39,
%U A077593 28,20,9,1,0,1,10,17,43,40,56,43,38,23,10,1,0,1,11,19,53,50,76,61,63
%N A077593 Table by antidiagonals where T(n,k)=sum_i T(floor[n/i],k-1) starting 
               with T(n,0)=1 if n>0 and T(0,0)=0.
%F A077593 T(n, k) =T(n-1, k)+A077592(n, k). Writing m as sum_i p_i^e_i, T(n, k)= 
               sum_m{1<=m<=n} product_i C(k+e_i-1, e_i).
%e A077593 Rows start: 0,0,0,0,0,0...; 1,1,1,1,1,1...; 1,2,3,4,5,6...; 1,3,5,7,9,
               11...; 1,4,8,13,19,26,...; etc.
%Y A077593 Columns include A057427, A001477, A006218, A061201, A061202, A061203, 
               A061204. Rows include (with offsets) A000004, A000012, A000027, A005408, 
               A034856, A052905. Cf. A077593.
%Y A077593 Sequence in context: A103493 A121480 A082601 this_sequence A119337 A110555 
               A071919
%Y A077593 Adjacent sequences: A077590 A077591 A077592 this_sequence A077594 A077595 
               A077596
%K A077593 nonn,tabl
%O A077593 0,9
%A A077593 Henry Bottomley (se16(AT)btinternet.com), Nov 08 2002