a(n) is the number of consecutive even prime gap pairs (g1, g2) satisfying g1 == 0 (mod 6) and g2 == 2 (mod 6) out of the first 2^n consecutive even prime gap pairs.

A345333

a(n) is the number of consecutive even prime gap pairs (g1, g2) satisfying g1 == 0 (mod 6) and g2 == 2 (mod 6) out of the first 2^n consecutive even prime gap pairs.

Terms

    a(0) =0a(1) =0a(2) =0a(3) =1a(4) =2a(5) =4a(6) =7a(7) =16a(8) =32a(9) =62a(10) =131a(11) =264a(12) =537a(13) =1056a(14) =2103a(15) =4207a(16) =8389a(17) =16754a(18) =33521a(19) =67037a(20) =133943a(21) =267788a(22) =535388a(23) =1070008a(24) =2138723a(25) =4275407a(26) =8544670a(27) =17077641

External references