Triangle sequence: T(n, k) = -Product_{j=0..k+1} ((n+1)*j - 1).

Terms

a(0) =0a(1) =1a(2) =3a(3) =2a(4) =10a(5) =80a(6) =3a(7) =21a(8) =231a(9) =3465a(10) =4a(11) =36a(12) =504a(13) =9576a(14) =229824a(15) =5a(16) =55a(17) =935a(18) =21505a(19) =623645a(20) =21827575a(21) =6a(22) =78a(23) =1560a(24) =42120a(25) =1432080a(26) =58715280a(27) =2818333440a(28) =7a(29) =105