The number of even prime gaps g, satisfying g == 0 (mod 6), out of the first 2^n even prime gaps.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =4a(5) =8a(6) =19a(7) =44a(8) =88a(9) =173a(10) =385a(11) =793a(12) =1649a(13) =3301a(14) =6647a(15) =13490a(16) =27299a(17) =55136a(18) =111630a(19) =225230a(20) =453453a(21) =913088a(22) =1836779a(23) =3691941a(24) =7418406a(25) =14900625a(26) =29914868a(27) =60045509a(28) =120499773a(29) =241755292