Triangle of coefficients arising from an expansion of Integral( exp(exp(exp(x))), dx).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =2a(6) =6a(7) =11a(8) =12a(9) =6a(10) =24a(11) =50a(12) =70a(13) =60a(14) =24a(15) =120a(16) =274a(17) =450a(18) =510a(19) =360a(20) =120a(21) =720a(22) =1764a(23) =3248a(24) =4410a(25) =4200a(26) =2520a(27) =720a(28) =5040a(29) =13068