Number of length 4 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7.

Terms

a(0) =8a(1) =50a(2) =130a(3) =264a(4) =511a(5) =830a(6) =1408a(7) =2150a(8) =3370a(9) =4440a(10) =6789a(11) =8523a(12) =12040a(13) =15918a(14) =21093a(15) =25067a(16) =33736a(17) =39265a(18) =50407a(19) =61663a(20) =75967a(21) =86154a(22) =106965a(23) =126656a(24) =151573a(25) =176764a(26) =208836a(27) =230806a(28) =275399a(29) =301753