Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + (j+4)*prime(j)*T(n-2, k-1) with j=5, read by rows.

Terms

a(0) =2a(1) =11a(2) =11a(3) =2a(4) =238a(5) =2a(6) =2a(7) =1329a(8) =1329a(9) =2a(10) =2a(11) =1529a(12) =26220a(13) =1529a(14) =2a(15) =2a(16) =1729a(17) =159320a(18) =159320a(19) =1729a(20) =2a(21) =2a(22) =1929a(23) =312420a(24) =2914420a(25) =312420a(26) =1929a(27) =2a(28) =2a(29) =2129