A258240 - cp's OEIS frontend

A258240 Number of steps from n to 0, where allowable steps are x -> [x/r] if x = is in A001952 (the Beatty sequence for 2 + sqrt(2)) and x -> [r*x] otherwise, where [ ] = floor and r = 2 + sqrt(2).

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

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

cp's OEIS Frontend

A258240 Number of steps from n to 0, where allowable steps are x -> [x/r] if x = is in A001952 (the Beatty sequence for 2 + sqrt(2)) and x -> [r*x] otherwise, where [ ] = floor and r = 2 + sqrt(2).

Table of values

List of values

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

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

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