%I A059720
%S A059720 1,0,1,0,2,1,0,5,6,2,0,15,29,20,5,0,55,148,158,80,16,0,239,818,1185,
%T A059720 910,366,61,0,1199,4964,9094,9392,5696,1904,272,0,6810,32989,73026,
%U A059720 94833,77011,38719,11080,1385,0,43108,238931,619904,970152,988040,663904,
               285424,71424,7936
%N A059720 Triangle T(n,k), 0<=k<=n, formed from coefficients when formula for n-th 
               diagonal of triangle in A059718 is written as a sum of binomial coefficients.
%C A059720 I would very much like to find a formula for this - N. J. A. Sloane (njas(AT)research.att.com).
%e A059720 1; 0,1; 0,2,1; 0,5,6,2; 0,15,29,20,5; ... E.g. the n=3 diagonal in A059718 
               has the formula b(m) = 0 + 5*m + 6*C(m,2) + 2*C(m,3) and so the third 
               row here is 0, 5, 6, 2.
%Y A059720 Interesting because it connects a mysterious sequence (A059219, the left 
               edge) with a known sequence (A000111, the right edge). Cf. A059724, 
               A059725, A059726.
%Y A059720 Sequence in context: A030206 A133336 A130191 this_sequence A140589 A137477 
               A157982
%Y A059720 Adjacent sequences: A059717 A059718 A059719 this_sequence A059721 A059722 
               A059723
%K A059720 nonn,tabl,nice
%O A059720 0,5
%A A059720 N. J. A. Sloane (njas(AT)research.att.com), Feb 09 2001