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

Terms

a(0) =2a(1) =6a(2) =18a(3) =27a(4) =64a(5) =81a(6) =141a(7) =200a(8) =293a(9) =343a(10) =512a(11) =578a(12) =776a(13) =954a(14) =1208a(15) =1331a(16) =1728a(17) =1875a(18) =2291a(19) =2652a(20) =3147a(21) =3375a(22) =4096a(23) =4356a(24) =5070a(25) =5678a(26) =6494a(27) =6859a(28) =8000a(29) =8405