Number of 7-element subsets of [n] having a prime element sum.

Terms

a(0) =0a(1) =2a(2) =7a(3) =32a(4) =85a(5) =191a(6) =383a(7) =760a(8) =1429a(9) =2601a(10) =4455a(11) =7275a(12) =11312a(13) =17084a(14) =25203a(15) =36725a(16) =52631a(17) =74199a(18) =102482a(19) =138942a(20) =184934a(21) =242638a(22) =314286a(23) =403242a(24) =513039a(25) =648580a(26) =814890a(27) =1018701a(28) =1266791a(29) =1567831