A058981 - cp's OEIS frontend

A058981 Improperly Reduced Fibonacci Sequence: begin with a(0) = 0, a(1) = 1 and a(n) = [ a(n-1) + a(n-2) ] / a(k). a(k) is the first (not necessarily the greatest) term including 1 which divides a(n-1) + a(n-2) not previously used.

n	a(n)
0	0
1	1
2	1
3	2
4	3
5	5
6	4
7	3
8	7
9	2
10	3
11	5
12	2
13	1
14	1
15	1
16	1
17	2
18	3
19	1
20	4
21	5
22	3
23	4
24	7
25	11
26	6
27	17
28	23
29	10
30	3
31	13
32	4
33	1
34	1
35	2
36	1
37	3
38	1
39	2
40	3
41	5
42	4
43	3
44	1
45	1
46	2
47	1
48	1
49	2
50	3
51	1
52	2
53	3
54	5
55	4
56	3
57	7
58	1
59	4
60	1
61	5
62	1
63	2
64	1
65	3
66	1
67	1
68	2
69	3
70	1
71	2
72	1
73	3
74	4
75	1
76	5
77	3
78	4
79	7
80	11
81	6
82	17
83	1
84	6
85	1
86	7
87	2
88	3
89	1
90	1
91	2
92	1
93	3
94	2
95	5
96	1
97	1
98	1
99	2
100	1

[0, 1, 1, 2, 3, 5, 4, 3, 7, 2, 3, 5, 2, 1, 1, 1, 1, 2, 3, 1, 4, 5, 3, 4, 7, 11, 6, 17, 23, 10, 3, 13, 4, 1, 1, 2, 1, 3, 1, 2, 3, 5, 4, 3, 1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 5, 4, 3, 7, 1, 4, 1, 5, 1, 2, 1, 3, 1, 1, 2, 3, 1, 2, 1, 3, 4, 1, 5, 3, 4, 7, 11, 6, 17, 1, 6, 1, 7, 2, 3, 1, 1, 2, 1, 3, 2, 5, 1, 1, 1, 2, 1]

cp's OEIS Frontend

A058981 Improperly Reduced Fibonacci Sequence: begin with a(0) = 0, a(1) = 1 and a(n) = [ a(n-1) + a(n-2) ] / a(k). a(k) is the first (not necessarily the greatest) term including 1 which divides a(n-1) + a(n-2) not previously used.

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	2
4	3
5	5
6	4
7	3
8	7
9	2
10	3
11	5
12	2
13	1
14	1
15	1
16	1
17	2
18	3
19	1
20	4
21	5
22	3
23	4
24	7
25	11
26	6
27	17
28	23
29	10
30	3
31	13
32	4
33	1
34	1
35	2
36	1
37	3
38	1
39	2
40	3
41	5
42	4
43	3
44	1
45	1
46	2
47	1
48	1
49	2
50	3
51	1
52	2
53	3
54	5
55	4
56	3
57	7
58	1
59	4
60	1
61	5
62	1
63	2
64	1
65	3
66	1
67	1
68	2
69	3
70	1
71	2
72	1
73	3
74	4
75	1
76	5
77	3
78	4
79	7
80	11
81	6
82	17
83	1
84	6
85	1
86	7
87	2
88	3
89	1
90	1
91	2
92	1
93	3
94	2
95	5
96	1
97	1
98	1
99	2
100	1

n	a(n)
0	0
1	1
2	1
3	2
4	3
5	5
6	4
7	3
8	7
9	2
10	3
11	5
12	2
13	1
14	1
15	1
16	1
17	2
18	3
19	1
20	4
21	5
22	3
23	4
24	7
25	11
26	6
27	17
28	23
29	10
30	3
31	13
32	4
33	1
34	1
35	2
36	1
37	3
38	1
39	2
40	3
41	5
42	4
43	3
44	1
45	1
46	2
47	1
48	1
49	2
50	3
51	1
52	2
53	3
54	5
55	4
56	3
57	7
58	1
59	4
60	1
61	5
62	1
63	2
64	1
65	3
66	1
67	1
68	2
69	3
70	1
71	2
72	1
73	3
74	4
75	1
76	5
77	3
78	4
79	7
80	11
81	6
82	17
83	1
84	6
85	1
86	7
87	2
88	3
89	1
90	1
91	2
92	1
93	3
94	2
95	5
96	1
97	1
98	1
99	2
100	1

n	a(n)
0	0
1	1
2	1
3	2
4	3
5	5
6	4
7	3
8	7
9	2
10	3
11	5
12	2
13	1
14	1
15	1
16	1
17	2
18	3
19	1
20	4
21	5
22	3
23	4
24	7
25	11
26	6
27	17
28	23
29	10
30	3
31	13
32	4
33	1
34	1
35	2
36	1
37	3
38	1
39	2
40	3
41	5
42	4
43	3
44	1
45	1
46	2
47	1
48	1
49	2
50	3
51	1
52	2
53	3
54	5
55	4
56	3
57	7
58	1
59	4
60	1
61	5
62	1
63	2
64	1
65	3
66	1
67	1
68	2
69	3
70	1
71	2
72	1
73	3
74	4
75	1
76	5
77	3
78	4
79	7
80	11
81	6
82	17
83	1
84	6
85	1
86	7
87	2
88	3
89	1
90	1
91	2
92	1
93	3
94	2
95	5
96	1
97	1
98	1
99	2
100	1