a(n) is the position of the first occurrence of 2n as a local minimum in the prime gaps (A001223).

Terms

a(0) =5a(1) =22a(2) =67a(3) =126a(4) =138a(5) =1253a(6) =1586a(7) =1356a(8) =3524a(9) =2129a(10) =10464a(11) =14174a(12) =19633a(13) =23354a(14) =44754a(15) =52872a(16) =194426a(17) =122046a(18) =209609a(19) =249329a(20) =256005a(21) =493543a(22) =335001a(23) =116305a(24) =895479a(25) =1698315a(26) =1324483a(27) =2783617a(28) =679305a(29) =1015023