A258215 - cp's OEIS frontend

A258215 Number of steps from n to 0, where allowable steps are x -> [x/r] if x is in lower Wythoff sequence (A000201) and x -> [r*x] otherwise, where [ ] = floor and r = (1+sqrt(5))/2 = golden ratio.

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

[0, 1, 3, 2, 4, 6, 3, 5, 5, 7, 9, 4, 6, 8, 6, 8, 8, 10, 12, 5, 7, 7, 9, 11, 7, 9, 11, 9, 11, 11, 13, 15, 6, 8, 10, 8, 10, 10, 12, 14, 8, 10, 10, 12, 14, 10, 12, 14, 12, 14, 14, 16, 18, 7, 9, 9, 11, 13, 9, 11, 13, 11, 13, 13, 15, 17, 9, 11, 13, 11, 13, 13, 15]

cp's OEIS Frontend

A258215 Number of steps from n to 0, where allowable steps are x -> [x/r] if x is in lower Wythoff sequence (A000201) and x -> [r*x] otherwise, where [ ] = floor and r = (1+sqrt(5))/2 = golden ratio.

Table of values

List of values

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

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

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