Boustrophedon transform of odd primes, cf. A065091.

Terms

a(0) =3a(1) =8a(2) =20a(3) =53a(4) =154a(5) =505a(6) =1944a(7) =8651a(8) =44046a(9) =252271a(10) =1605874a(11) =11245261a(12) =85907084a(13) =710970323a(14) =6336648426a(15) =60510526207a(16) =616355168958