Number of 4-element subsets of [n] having a prime element sum.

Terms

a(0) =0a(1) =2a(2) =4a(3) =11a(4) =21a(5) =34a(6) =53a(7) =82a(8) =118a(9) =171a(10) =241a(11) =332a(12) =444a(13) =582a(14) =741a(15) =931a(16) =1152a(17) =1411a(18) =1712a(19) =2064a(20) =2465a(21) =2930a(22) =3451a(23) =4034a(24) =4683a(25) =5406a(26) =6200a(27) =7085a(28) =8058a(29) =9128