Array read by antidiagonals: a(i,j) is the number of ways of labeling a tableau of shape (i,1^j) with the integers 1, 2, ... i+j-2 (each label being used once) such that the first row is decreasing, and the first column has m-1 labels.

A226167

Array read by antidiagonals: a(i,j) is the number of ways of labeling a tableau of shape (i,1^j) with the integers 1, 2, ... i+j-2 (each label being used once) such that the first row is decreasing, and the first column has m-1 labels.

Terms

    a(0) =1a(1) =3a(2) =1a(3) =12a(4) =5a(5) =1a(6) =60a(7) =27a(8) =7a(9) =1a(10) =360a(11) =168a(12) =48a(13) =9a(14) =1a(15) =2520a(16) =1200a(17) =360a(18) =75a(19) =11a(20) =1a(21) =20160a(22) =9720a(23) =3000a(24) =660a(25) =108a(26) =13a(27) =1a(28) =181440a(29) =88200

External references