A035517 - cp's OEIS frontend

A035517 Triangular array read by rows, formed from Zeckendorf expansion of integers: repeatedly subtract the largest Fibonacci number you can until nothing remains. Row n give Z. expansion of n.

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

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

cp's OEIS Frontend

A035517 Triangular array read by rows, formed from Zeckendorf expansion of integers: repeatedly subtract the largest Fibonacci number you can until nothing remains. Row n give Z. expansion of n.

Table of values

List of values

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

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

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