Triangle T, read by rows, where column 0 of T^m equals C(m*2^(n-1), n) as n=0,1,2,3,..., for all m.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =4a(7) =32a(8) =16a(9) =1a(10) =70a(11) =848a(12) =576a(13) =64a(14) =1a(15) =4368a(16) =75648a(17) =62208a(18) =9216a(19) =256a(20) =1a(21) =906192a(22) =22313216a(23) =21169152a(24) =3792896a(25) =143360a(26) =1024a(27) =1a(28) =621216192a(29) =21827627008