a(1)=1. a(n) = a(n-1) + (sum of the distinct primes that are <= n and don't divide a(n-1)).

Terms

a(0) =1a(1) =3a(2) =5a(3) =10a(4) =13a(5) =23a(6) =40a(7) =50a(8) =60a(9) =67a(10) =95a(11) =118a(12) =157a(13) =198a(14) =223a(15) =264a(16) =306a(17) =342a(18) =395a(19) =467a(20) =544a(21) =602a(22) =693a(23) =772a(24) =870a(25) =960a(26) =1050a(27) =1133a(28) =1251a(29) =1377