Triangle T(n,m) = coefficient of x^n (x^2*cosech(x))^m=sum(n>=m, T(n,m)x^n*m!^2/n!^2).

Terms

a(0) =1a(1) =0a(2) =1a(3) =-6a(4) =0a(5) =1a(6) =0a(7) =-48a(8) =0a(9) =1a(10) =280a(11) =0a(12) =-200a(13) =0a(14) =1a(15) =0a(16) =8640a(17) =0a(18) =-600a(19) =0a(20) =1a(21) =-52080a(22) =0a(23) =99960a(24) =0a(25) =-1470a(26) =0a(27) =1a(28) =0a(29) =-4300800