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

Terms

a(0) =16a(1) =105a(2) =331a(3) =809a(4) =2094a(5) =4021a(6) =8116a(7) =14058a(8) =25047a(9) =35962a(10) =60921a(11) =82097a(12) =125940a(13) =177885a(14) =254541a(15) =320737a(16) =462767a(17) =566354a(18) =770435a(19) =986891a(20) =1278221a(21) =1512371a(22) =1975937a(23) =2434273a(24) =3044409a(25) =3681132a(26) =4523992a(27) =5167464a(28) =6430586a(29) =7262903