a(n) = integer nearest a(n-1)/(sqrt(7) - 2), where a(1) = 1.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =8a(5) =12a(6) =19a(7) =29a(8) =45a(9) =70a(10) =108a(11) =167a(12) =259a(13) =401a(14) =621a(15) =962a(16) =1490a(17) =2307a(18) =3573a(19) =5533a(20) =8568a(21) =13268a(22) =20547a(23) =31819a(24) =49274a(25) =76305a(26) =118165a(27) =182988a(28) =283372a(29) =438825