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

Terms

a(0) =2a(1) =6a(2) =13a(3) =26a(4) =48a(5) =80a(6) =141a(7) =250a(8) =432a(9) =811a(10) =1738a(11) =3961a(12) =8538a(13) =17025a(14) =34187a(15) =72898a(16) =157026a(17) =321779a(18) =617116a(19) =1123322a(20) =1990020a(21) =3513143a(22) =6331279a(23) =11993364a(24) =24225202a(25) =51006817a(26) =107771521a(27) =224620410a(28) =465541899a(29) =968974620