Number of length 5 1..(n+2) arrays with no leading or trailing partial sum equal to a prime.

Terms

a(0) =1a(1) =11a(2) =21a(3) =176a(4) =204a(5) =898a(6) =1653a(7) =4078a(8) =5075a(9) =11512a(10) =13456a(11) =25925a(12) =37275a(13) =60717a(14) =69689a(15) =114352a(16) =127928a(17) =195039a(18) =251161a(19) =349001a(20) =385157a(21) =552907a(22) =667293a(23) =892038a(24) =1075280a(25) =1385235a(26) =1510110a(27) =2006079a(28) =2156703a(29) =2694466