T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3 or 5.

Terms

a(0) =1a(1) =2a(2) =2a(3) =3a(4) =6a(5) =4a(6) =4a(7) =10a(8) =13a(9) =5a(10) =5a(11) =16a(12) =30a(13) =26a(14) =6a(15) =5a(16) =23a(17) =54a(18) =79a(19) =48a(20) =9a(21) =6a(22) =26a(23) =95a(24) =166a(25) =197a(26) =80a(27) =10a(28) =7a(29) =35