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%I #5 Jan 26 2015 20:38:08
%S 1,0,0,0,1,0,0,1,0,0,1,0,1,2,14,66,156,202,151,69,18,7,19,37,78,393,
%T 2608,12865,45917,121659,245151,393062,565673,910088,1775336,3503048,
%U 5974259,8372896,9844151,11328144,18364097,44444934,112695335,249504498
%N Number of length n 1..(1+2) arrays with no leading or trailing partial sum equal to a prime
%C Column 1 of A254204
%H R. H. Hardin, <a href="/A254197/b254197.txt">Table of n, a(n) for n = 1..66</a>
%e All solutions for n=15
%e ..1....1....1....1....1....1....1....1....1....1....1....1....1....1
%e ..3....3....3....3....3....3....3....3....3....3....3....3....3....3
%e ..2....2....2....2....2....2....2....2....2....2....2....2....2....2
%e ..3....2....3....3....3....3....3....3....3....3....2....3....3....3
%e ..3....2....3....1....3....3....3....3....3....3....1....3....3....3
%e ..3....2....3....2....3....3....2....3....3....2....3....3....3....2
%e ..1....3....3....3....3....3....1....3....3....2....3....3....3....2
%e ..2....3....3....3....3....2....3....3....2....2....3....3....3....2
%e ..3....3....3....3....3....1....3....3....2....3....3....1....3....2
%e ..3....3....2....3....3....3....3....2....2....3....3....2....3....2
%e ..3....3....1....3....3....3....3....2....3....3....3....3....1....3
%e ..3....3....3....3....3....3....3....2....3....3....3....3....2....3
%e ..2....2....2....2....2....2....2....2....2....2....2....2....2....2
%e ..3....3....3....3....3....3....3....3....3....3....3....3....3....3
%e ..1....1....1....1....1....1....1....1....1....1....1....1....1....1
%K nonn
%O 1,14
%A _R. H. Hardin_, Jan 26 2015