A377384 - cp's OEIS frontend

A377384 a(n) is the number of iterations that n requires to reach a noninteger or a factorial number under the map x -> x / f(x), where f(k) = A034968(k) is the sum of digits in the factorial-base representation of k; a(n) = 0 if n is a factorial number.

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

[0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1]

cp's OEIS Frontend

A377384 a(n) is the number of iterations that n requires to reach a noninteger or a factorial number under the map x -> x / f(x), where f(k) = A034968(k) is the sum of digits in the factorial-base representation of k; a(n) = 0 if n is a factorial number.

Table of values

List of values

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

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

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