Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + j*prime(j)*T(n-2, k-1) with j=3, read by rows.

Terms

a(0) =2a(1) =5a(2) =5a(3) =2a(4) =46a(5) =2a(6) =2a(7) =123a(8) =123a(9) =2a(10) =2a(11) =155a(12) =936a(13) =155a(14) =2a(15) =2a(16) =187a(17) =2936a(18) =2936a(19) =187a(20) =2a(21) =2a(22) =219a(23) =5448a(24) =19912a(25) =5448a(26) =219a(27) =2a(28) =2a(29) =251