a(1) = 1, a(n+1) = a(n) + gpf(Sum_{i=1..n} a(i)), where gpf=A006530 (greatest prime factor).

Terms

a(0) =1a(1) =2a(2) =5a(3) =7a(4) =12a(5) =15a(6) =22a(7) =24a(8) =35a(9) =76a(10) =275a(11) =354a(12) =377a(13) =618a(14) =2441a(15) =2482a(16) =5855a(17) =18456a(18) =20845a(19) =46796a(20) =47605a(21) =53966a(22) =54705a(23) =182192a(24) =182355a(25) =211856a(26) =213153a(27) =214712a(28) =216985a(29) =1693212