This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A059720 #3 Mar 30 2012 16:49:03 %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_. %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. %K A059720 nonn,tabl,nice %O A059720 0,5 %A A059720 _N. J. A. Sloane_, Feb 09 2001