2067414domain: NAppears in sequencesPositive integers n such that all the gaps prime(n+i+1) - prime(n+i) (i = 0, ..., 12) belong to the set {g > 0: g - 1 and g + 1 are twin prime}.at n=9A244308a(n) = Sum_{k=0..floor(n/4)} (-1)^k * binomial(n-3*k,k) * Catalan(n-3*k).at n=14A360271