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

A174160

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

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-1a(5) =1a(6) =1a(7) =-14a(8) =-14a(9) =1a(10) =1a(11) =-48a(12) =-268a(13) =-48a(14) =1a(15) =1a(16) =-111a(17) =-1896a(18) =-1896a(19) =-111a(20) =1a(21) =1a(22) =-201a(23) =-8643a(24) =-25793a(25) =-8643a(26) =-201a(27) =1a(28) =1a(29) =-290

External references