A158855 a(n), a(n+1), a(n+2), for n=5,8,11,... are respectively the numbers of representations of the integers 2^k-2, 2^k, 2^k+2, where k=(n+4)/3, by unordered sums of two odd primes not belonging to A158847.
2, 0, 2, 5, 0, 4, 6, 0, 7, 18, 0, 8, 10, 0, 23, 51, 0, 25, 43, 0, 68, 206, 0, 79, 93, 0, 214, 397, 0, 280, 445, 0, 684, 1650, 0, 630, 1008, 0, 2136, 4894, 0, 3065, 3682, 0, 6853
Offset: 14