Triangle read by rows: T(m,n) = binomial(m!,n), m>=0, 0 <= n <= m!.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =6a(9) =15a(10) =20a(11) =15a(12) =6a(13) =1a(14) =1a(15) =24a(16) =276a(17) =2024a(18) =10626a(19) =42504a(20) =134596a(21) =346104a(22) =735471a(23) =1307504a(24) =1961256a(25) =2496144a(26) =2704156a(27) =2496144a(28) =1961256a(29) =1307504