Number of subsets of the first n primes whose elements have a prime average.

Terms

a(0) =1a(1) =2a(2) =3a(3) =6a(4) =9a(5) =12a(6) =17a(7) =30a(8) =51a(9) =88a(10) =149a(11) =264a(12) =439a(13) =746a(14) =1261a(15) =2234a(16) =4211a(17) =7996a(18) =14899a(19) =28048a(20) =54037a(21) =106442a(22) =208625a(23) =398588a(24) =735365a(25) =1331590a(26) =2421573a(27) =4481896a(28) =8504953a(29) =16497150