Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + (j+1)*prime(j)*T(n-2, k-1) with j=4, read by rows.

Terms

a(0) =2a(1) =7a(2) =7a(3) =2a(4) =94a(5) =2a(6) =2a(7) =341a(8) =341a(9) =2a(10) =2a(11) =413a(12) =3972a(13) =413a(14) =2a(15) =2a(16) =485a(17) =16320a(18) =16320a(19) =485a(20) =2a(21) =2a(22) =557a(23) =31260a(24) =171660a(25) =31260a(26) =557a(27) =2a(28) =2a(29) =629