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 A177847 #7 Aug 06 2012 20:22:50 %S A177847 1,1,1,2,4,2,6,60,60,6,24,2016,12096,2016,24,120,120960,7983360, %T A177847 7983360,120960,120,720,11404800,12454041600,149448499200,12454041600, %U A177847 11404800,720,5040,1556755200,38109367296000,8688935743488000,8688935743488000 %N A177847 Array T(n,m)= (n*m)!*Beta(n, m) read by antidiagonals. %C A177847 Beta(x,y) = Gamma(x)*Gamma(y)/Gamma(x+y). %F A177847 T(n,m) = Gamma(n*m+1)*Gamma(n)*Gamma(m)/Gamma(n+m). %F A177847 T(1,m) = A000142(m-1). %F A177847 T(n,m) = T(m,n). %e A177847 The array starts in row n=1 as: %e A177847 1, 1, 2, 6, 24, ... %e A177847 1, 4, 60, 2016, 120960, ... %e A177847 2, 60, 12096, 7983360, 12454041600, ... %e A177847 6, 2016, 7983360, 149448499200, 8688935743488000, ... %e A177847 24, 120960, 12454041600, 8688935743488000, 24620968322747596800000, ... %p A177847 A177847 := proc(n,m) (n*m)!*Beta(n,m) ; end proc: %p A177847 seq (seq (A177847(n, 1+d-n), n=1..d), d=1..10); %t A177847 t[n_, m_] = (n*m)!*Beta[n, m]; %t A177847 a = Table[Table[t[n, m], {m, 1, 10}], {n, 1, 10}]; %t A177847 Table[Table[a[[m, n - m + 1]], {m, 1, n}], {n, 1, 10}]; %t A177847 Flatten[%] %Y A177847 Cf. A060854. %K A177847 nonn,tabl %O A177847 1,4 %A A177847 _Roger L. Bagula_, May 14 2010