A361869 - cp's OEIS frontend

A361869 Let x_0, x_1, x_2, ... be the iterations of the arithmetic derivative A003415 starting with x_0 = n. a(n) is the greatest k such that x_0 > x_1 > ... > x_k.

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

[0, 1, 2, 2, 0, 2, 3, 2, 0, 4, 3, 2, 0, 2, 5, 1, 0, 2, 0, 2, 0, 4, 3, 2, 0, 4, 2, 0, 0, 2, 0, 2, 0, 6, 3, 1, 0, 2, 5, 1, 0, 2, 3, 2, 0, 2, 5, 2, 0, 6, 3, 1, 0, 2, 0, 1, 0, 4, 3, 2, 0, 2, 7, 2, 0, 1, 3, 2, 0, 3, 3, 2, 0, 2, 2, 2, 0, 1, 3, 2, 0, 0, 3, 2, 0, 4, 3, 1, 0, 2, 0, 1, 0, 4, 7, 1, 0, 2, 2, 3]

cp's OEIS Frontend

A361869 Let x_0, x_1, x_2, ... be the iterations of the arithmetic derivative A003415 starting with x_0 = n. a(n) is the greatest k such that x_0 > x_1 > ... > x_k.

Table of values

List of values

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

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

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