a(1)=4; a(n) = floor((31+Sum_{i=1..n-1} a(i))/7).

Terms

a(0) =4a(1) =5a(2) =5a(3) =6a(4) =7a(5) =8a(6) =9a(7) =10a(8) =12a(9) =13a(10) =15a(11) =17a(12) =20a(13) =23a(14) =26a(15) =30a(16) =34a(17) =39a(18) =44a(19) =51a(20) =58a(21) =66a(22) =76a(23) =87a(24) =99a(25) =113a(26) =129a(27) =148a(28) =169a(29) =193