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

Terms

a(0) =4a(1) =18a(2) =45a(3) =80a(4) =125a(5) =179a(6) =257a(7) =345a(8) =468a(9) =560a(10) =761a(11) =888a(12) =1153a(13) =1433a(14) =1773a(15) =1990a(16) =2492a(17) =2757a(18) =3339a(19) =3896a(20) =4557a(21) =4956a(22) =5839a(23) =6656a(24) =7629a(25) =8581a(26) =9741a(27) =10412a(28) =11889a(29) =12630