Array A(n, k) = Product_{j=1..n} Product_{i=1..j} (1 - (k+1)^i)/(1 - (k+1))^j, with A(n, k) = n!, read by antidiagonals.

A156953

Array A(n, k) = Product_{j=1..n} Product_{i=1..j} (1 - (k+1)^i)/(1 - (k+1))^j, with A(n, k) = n!, read by antidiagonals.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =3a(9) =6a(10) =1a(11) =1a(12) =4a(13) =63a(14) =24a(15) =1a(16) =1a(17) =5a(18) =208a(19) =19845a(20) =120a(21) =1a(22) =1a(23) =6a(24) =525a(25) =432640a(26) =193786425a(27) =720a(28) =1a(29) =1

External references