Triangle of coefficients of certain exponential convolution polynomials.

Terms

a(0) =1a(1) =8a(2) =1a(3) =96a(4) =24a(5) =1a(6) =1536a(7) =576a(8) =48a(9) =1a(10) =30720a(11) =15360a(12) =1920a(13) =80a(14) =1a(15) =737280a(16) =460800a(17) =76800a(18) =4800a(19) =120a(20) =1a(21) =20643840a(22) =15482880a(23) =3225600a(24) =268800a(25) =10080a(26) =168a(27) =1a(28) =660602880a(29) =578027520