A264971 - cp's OEIS frontend

A264971 If A262686(n) = 0, a(n) = 1, otherwise a(n) = 1 + a(A262686(n)), where A262686(n) = largest number k such that k - d(k) = n, or 0 if no such number exists, and d(n) = the number of divisors of n (A000005).

n	a(n)
0	13
1	3
2	12
3	3
4	2
5	2
6	11
7	1
8	1
9	4
10	3
11	3
12	10
13	1
14	2
15	6
16	2
17	5
18	9
19	1
20	1
21	4
22	8
23	3
24	1
25	1
26	3
27	2
28	1
29	2
30	7
31	7
32	2
33	1
34	6
35	6
36	1
37	1
38	7
39	5
40	1
41	2
42	5
43	1
44	2
45	4
46	4
47	3
48	6
49	1
50	1
51	2
52	1
53	3
54	3
55	1
56	1
57	2
58	2
59	5
60	5
61	4
62	4
63	1
64	1
65	3
66	1
67	1
68	1
69	2
70	3
71	4
72	4
73	3
74	1
75	1
76	3
77	2
78	5
79	1
80	2
81	2
82	4
83	4
84	3
85	1
86	3
87	3
88	1
89	5
90	4
91	2
92	2
93	4
94	3
95	6
96	2
97	5
98	1
99	3
100	1

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

cp's OEIS Frontend

A264971 If A262686(n) = 0, a(n) = 1, otherwise a(n) = 1 + a(A262686(n)), where A262686(n) = largest number k such that k - d(k) = n, or 0 if no such number exists, and d(n) = the number of divisors of n (A000005).

Table of values

List of values

n	a(n)
0	13
1	3
2	12
3	3
4	2
5	2
6	11
7	1
8	1
9	4
10	3
11	3
12	10
13	1
14	2
15	6
16	2
17	5
18	9
19	1
20	1
21	4
22	8
23	3
24	1
25	1
26	3
27	2
28	1
29	2
30	7
31	7
32	2
33	1
34	6
35	6
36	1
37	1
38	7
39	5
40	1
41	2
42	5
43	1
44	2
45	4
46	4
47	3
48	6
49	1
50	1
51	2
52	1
53	3
54	3
55	1
56	1
57	2
58	2
59	5
60	5
61	4
62	4
63	1
64	1
65	3
66	1
67	1
68	1
69	2
70	3
71	4
72	4
73	3
74	1
75	1
76	3
77	2
78	5
79	1
80	2
81	2
82	4
83	4
84	3
85	1
86	3
87	3
88	1
89	5
90	4
91	2
92	2
93	4
94	3
95	6
96	2
97	5
98	1
99	3
100	1

n	a(n)
0	13
1	3
2	12
3	3
4	2
5	2
6	11
7	1
8	1
9	4
10	3
11	3
12	10
13	1
14	2
15	6
16	2
17	5
18	9
19	1
20	1
21	4
22	8
23	3
24	1
25	1
26	3
27	2
28	1
29	2
30	7
31	7
32	2
33	1
34	6
35	6
36	1
37	1
38	7
39	5
40	1
41	2
42	5
43	1
44	2
45	4
46	4
47	3
48	6
49	1
50	1
51	2
52	1
53	3
54	3
55	1
56	1
57	2
58	2
59	5
60	5
61	4
62	4
63	1
64	1
65	3
66	1
67	1
68	1
69	2
70	3
71	4
72	4
73	3
74	1
75	1
76	3
77	2
78	5
79	1
80	2
81	2
82	4
83	4
84	3
85	1
86	3
87	3
88	1
89	5
90	4
91	2
92	2
93	4
94	3
95	6
96	2
97	5
98	1
99	3
100	1

n	a(n)
0	13
1	3
2	12
3	3
4	2
5	2
6	11
7	1
8	1
9	4
10	3
11	3
12	10
13	1
14	2
15	6
16	2
17	5
18	9
19	1
20	1
21	4
22	8
23	3
24	1
25	1
26	3
27	2
28	1
29	2
30	7
31	7
32	2
33	1
34	6
35	6
36	1
37	1
38	7
39	5
40	1
41	2
42	5
43	1
44	2
45	4
46	4
47	3
48	6
49	1
50	1
51	2
52	1
53	3
54	3
55	1
56	1
57	2
58	2
59	5
60	5
61	4
62	4
63	1
64	1
65	3
66	1
67	1
68	1
69	2
70	3
71	4
72	4
73	3
74	1
75	1
76	3
77	2
78	5
79	1
80	2
81	2
82	4
83	4
84	3
85	1
86	3
87	3
88	1
89	5
90	4
91	2
92	2
93	4
94	3
95	6
96	2
97	5
98	1
99	3
100	1