a(n) = smallest odd m such that (m^n + (m+2)^n)/2 is prime.

Terms

a(0) =2a(1) =17a(2) =37a(3) =4481a(4) =101a(5) =21601a(6) =197a(7) =257a(8) =106921a(9) =401a(10) =237161a(11) =577a(12) =677a(13) =391337974721a(14) =815401a(15) =1054721a(16) =1297a(17) =2093801a(18) =1601a(19) =3122281a(20) =3759713a(21) =6265001a(22) =2917a(23) =3137a(24) =12981601a(25) =16801793a(26) =4357a(27) =5477a(28) =33396833