A035516 - cp's OEIS frontend

A035516 Triangular array formed from Zeckendorf expansion of integers: repeatedly subtract the largest Fibonacci number you can until nothing remains.

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

[0, 1, 2, 3, 3, 1, 5, 5, 1, 5, 2, 8, 8, 1, 8, 2, 8, 3, 8, 3, 1, 13, 13, 1, 13, 2, 13, 3, 13, 3, 1, 13, 5, 13, 5, 1, 13, 5, 2, 21, 21, 1, 21, 2, 21, 3, 21, 3, 1, 21, 5, 21, 5, 1, 21, 5, 2, 21, 8, 21, 8, 1, 21, 8, 2, 21, 8, 3, 21, 8, 3, 1, 34, 34, 1, 34, 2, 34, 3, 34, 3, 1, 34, 5, 34, 5, 1, 34, 5, 2]

cp's OEIS Frontend

A035516 Triangular array formed from Zeckendorf expansion of integers: repeatedly subtract the largest Fibonacci number you can until nothing remains.

Table of values

List of values

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

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

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