Triangular array T(n,k) read by rows, satisfies A377441(n, k+2) = Sum_{m=0..k} T(k, m)*n^m.

Terms

a(0) =2a(1) =5a(2) =1a(3) =14a(4) =6a(5) =1a(6) =42a(7) =27a(8) =8a(9) =1a(10) =132a(11) =111a(12) =45a(13) =10a(14) =1a(15) =429a(16) =441a(17) =222a(18) =67a(19) =12a(20) =1a(21) =1430a(22) =1728a(23) =1029a(24) =382a(25) =93a(26) =14a(27) =1a(28) =4862a(29) =6733