a(1)=5; a(n)=floor((29+sum(a(1) to a(n-1)))/5).

Terms

a(0) =5a(1) =6a(2) =8a(3) =9a(4) =11a(5) =13a(6) =16a(7) =19a(8) =23a(9) =27a(10) =33a(11) =39a(12) =47a(13) =57a(14) =68a(15) =82a(16) =98a(17) =118a(18) =141a(19) =169a(20) =203a(21) =244a(22) =293a(23) =351a(24) =421a(25) =506a(26) =607a(27) =728a(28) =874a(29) =1049