A242940 - cp's OEIS frontend

A242940 a(n) is the smallest positive integer greater than a(n-1) which is consistent with the condition "n is a term of the sequence if and only if a(n) is a Fibonacci number".

n	a(n)
1	1
2	2
3	3
4	6
5	7
6	8
7	13
8	21
9	22
10	23
11	24
12	25
13	34
14	35
15	36
16	37
17	38
18	39
19	40
20	41
21	55
22	89
23	144
24	233
25	377
26	378
27	379
28	380
29	381
30	382
31	383
32	384
33	610
34	987
35	1597

[1, 2, 3, 6, 7, 8, 13, 21, 22, 23, 24, 25, 34, 35, 36, 37, 38, 39, 40, 41, 55, 89, 144, 233, 377, 378, 379, 380, 381, 382, 383, 384, 610, 987, 1597]