Number of nonempty subsets of [n] whose elements have a prime average.

Terms

a(0) =0a(1) =1a(2) =4a(3) =6a(4) =11a(5) =15a(6) =22a(7) =40a(8) =72a(9) =118a(10) =199a(11) =355a(12) =604a(13) =920a(14) =1306a(15) =1906a(16) =3281a(17) =6985a(18) =16446a(19) =38034a(20) =82490a(21) =168076a(22) =325935a(23) =604213a(24) =1068941a(25) =1815745a(26) =3038319a(27) =5246725a(28) =9796132a(29) =19966752