T(n,k)=Number of length n 1..(k+2) arrays with no leading partial sum equal to a prime.

Terms

a(0) =1a(1) =2a(2) =1a(3) =2a(4) =3a(5) =1a(6) =3a(7) =5a(8) =8a(9) =2a(10) =3a(11) =10a(12) =15a(13) =20a(14) =4a(15) =4a(16) =11a(17) =40a(18) =45a(19) =50a(20) =6a(21) =5a(22) =20a(23) =49a(24) =160a(25) =135a(26) =126a(27) =11a(28) =6a(29) =28