Table T(n,k) read by upward antidiagonals. T(n,k) = Sum_{i=1..n} Product_{j=1..k} (i-1)*k+j.

Terms

a(0) =1a(1) =3a(2) =2a(3) =6a(4) =14a(5) =6a(6) =10a(7) =44a(8) =126a(9) =24a(10) =15a(11) =100a(12) =630a(13) =1704a(14) =120a(15) =21a(16) =190a(17) =1950a(18) =13584a(19) =30360a(20) =720a(21) =28a(22) =322a(23) =4680a(24) =57264a(25) =390720a(26) =666000a(27) =5040a(28) =36a(29) =504