a(n) = (a(n-1)+a(n-2))/7^k, where 7^k is the highest power of 7 dividing a(n-1)+a(n-2).

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =8a(6) =13a(7) =3a(8) =16a(9) =19a(10) =5a(11) =24a(12) =29a(13) =53a(14) =82a(15) =135a(16) =31a(17) =166a(18) =197a(19) =363a(20) =80a(21) =443a(22) =523a(23) =138a(24) =661a(25) =799a(26) =1460a(27) =2259a(28) =3719a(29) =122