Interpolating the factorial and the powers of 2. Triangle read by rows, T(n, k) for 0 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =8a(5) =4a(6) =6a(7) =36a(8) =36a(9) =8a(10) =24a(11) =192a(12) =288a(13) =128a(14) =16a(15) =120a(16) =1200a(17) =2400a(18) =1600a(19) =400a(20) =32a(21) =720a(22) =8640a(23) =21600a(24) =19200a(25) =7200a(26) =1152a(27) =64a(28) =5040a(29) =70560