Number of length 4 1..(n+2) arrays with no leading or trailing partial sum equal to a prime.

Terms

a(0) =0a(1) =6a(2) =9a(3) =54a(4) =59a(5) =195a(6) =315a(7) =676a(8) =786a(9) =1571a(10) =1743a(11) =3055a(12) =4150a(13) =6173a(14) =6771a(15) =10272a(16) =11043a(17) =15676a(18) =19401a(19) =25430a(20) =27112a(21) =36782a(22) =43100a(23) =54658a(24) =63832a(25) =78460a(26) =83191a(27) =105054a(28) =110008a(29) =132262