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

Terms

a(0) =6a(1) =48a(2) =197a(3) =500a(4) =1569a(5) =2644a(6) =5780a(7) =10521a(8) =20196a(9) =28905a(10) =51251a(11) =68341a(12) =104670a(13) =147080a(14) =212086a(15) =263668a(16) =383709a(17) =465335a(18) =636191a(19) =809980a(20) =1052445a(21) =1232893a(22) =1623448a(23) =1974538a(24) =2461801a(25) =2945116a(26) =3606161a(27) =4084101a(28) =5153632a(29) =5776354