A symmetrical triangular sequence:t(n,m)=(n!^2/(m!(n - m)!))*Eulerian[n + 1, m] - (n!^2/(m!(n - m)!)) + 1.

A174791

A symmetrical triangular sequence:t(n,m)=(n!^2/(m!(n - m)!))*Eulerian[n + 1, m] - (n!^2/(m!(n - m)!)) + 1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =13a(5) =1a(6) =1a(7) =181a(8) =181a(9) =1a(10) =1a(11) =2401a(12) =9361a(13) =2401a(14) =1a(15) =1a(16) =33601a(17) =361201a(18) =361201a(19) =33601a(20) =1a(21) =1a(22) =514081a(23) =12852001a(24) =34776001a(25) =12852001a(26) =514081a(27) =1a(28) =1a(29) =8678881

External references