91246domain: NAppears in sequencesa(n) is the number of consecutive even prime gap pairs (g1, g2) satisfying g1 == 0 (mod 6) and g2 == 0 (mod 6) out of the first 2^n consecutive even prime gap pairs.at n=19A345332a(n) = Sum_{k=0..floor(n/3)} binomial(n,k) * binomial(n+k,n-3*k).at n=11A389127