A348340 - cp's OEIS frontend

A348340 For n >= 1; x = n, then iterate x --> x + h(x) until h(x + h(x)) >= h(x). a(n) gives the number of iteration steps where h(i) is A000120(i).

n	a(n)
1	5
2	4
3	3
4	3
5	2
6	1
7	1
8	4
9	3
10	3
11	2
12	2
13	1
14	1
15	1
16	7
17	6
18	6
19	5
20	5
21	1
22	4
23	3
24	3
25	3
26	2
27	2
28	2
29	1
30	1
31	1
32	7
33	6
34	6
35	5
36	5
37	1
38	4
39	3
40	3
41	3
42	2
43	2
44	2
45	1
46	1
47	1
48	5
49	3
50	4
51	2
52	2
53	3
54	3
55	1
56	2
57	2
58	2
59	1
60	1
61	1
62	1
63	1
64	7
65	6
66	6
67	5
68	5
69	1
70	4
71	3
72	3
73	3
74	2
75	2
76	2
77	1
78	1
79	1
80	5
81	3
82	4
83	2
84	2
85	3
86	3
87	1
88	2
89	2
90	2
91	1
92	1
93	1
94	1
95	1
96	5
97	3
98	4
99	2
100	2
101	3
102	4
103	1
104	2
105	2
106	3
107	1
108	1
109	1
110	2

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

cp's OEIS Frontend

A348340 For n >= 1; x = n, then iterate x --> x + h(x) until h(x + h(x)) >= h(x). a(n) gives the number of iteration steps where h(i) is A000120(i).

Table of values

List of values

n	a(n)
1	5
2	4
3	3
4	3
5	2
6	1
7	1
8	4
9	3
10	3
11	2
12	2
13	1
14	1
15	1
16	7
17	6
18	6
19	5
20	5
21	1
22	4
23	3
24	3
25	3
26	2
27	2
28	2
29	1
30	1
31	1
32	7
33	6
34	6
35	5
36	5
37	1
38	4
39	3
40	3
41	3
42	2
43	2
44	2
45	1
46	1
47	1
48	5
49	3
50	4
51	2
52	2
53	3
54	3
55	1
56	2
57	2
58	2
59	1
60	1
61	1
62	1
63	1
64	7
65	6
66	6
67	5
68	5
69	1
70	4
71	3
72	3
73	3
74	2
75	2
76	2
77	1
78	1
79	1
80	5
81	3
82	4
83	2
84	2
85	3
86	3
87	1
88	2
89	2
90	2
91	1
92	1
93	1
94	1
95	1
96	5
97	3
98	4
99	2
100	2
101	3
102	4
103	1
104	2
105	2
106	3
107	1
108	1
109	1
110	2

n	a(n)
1	5
2	4
3	3
4	3
5	2
6	1
7	1
8	4
9	3
10	3
11	2
12	2
13	1
14	1
15	1
16	7
17	6
18	6
19	5
20	5
21	1
22	4
23	3
24	3
25	3
26	2
27	2
28	2
29	1
30	1
31	1
32	7
33	6
34	6
35	5
36	5
37	1
38	4
39	3
40	3
41	3
42	2
43	2
44	2
45	1
46	1
47	1
48	5
49	3
50	4
51	2
52	2
53	3
54	3
55	1
56	2
57	2
58	2
59	1
60	1
61	1
62	1
63	1
64	7
65	6
66	6
67	5
68	5
69	1
70	4
71	3
72	3
73	3
74	2
75	2
76	2
77	1
78	1
79	1
80	5
81	3
82	4
83	2
84	2
85	3
86	3
87	1
88	2
89	2
90	2
91	1
92	1
93	1
94	1
95	1
96	5
97	3
98	4
99	2
100	2
101	3
102	4
103	1
104	2
105	2
106	3
107	1
108	1
109	1
110	2

n	a(n)
1	5
2	4
3	3
4	3
5	2
6	1
7	1
8	4
9	3
10	3
11	2
12	2
13	1
14	1
15	1
16	7
17	6
18	6
19	5
20	5
21	1
22	4
23	3
24	3
25	3
26	2
27	2
28	2
29	1
30	1
31	1
32	7
33	6
34	6
35	5
36	5
37	1
38	4
39	3
40	3
41	3
42	2
43	2
44	2
45	1
46	1
47	1
48	5
49	3
50	4
51	2
52	2
53	3
54	3
55	1
56	2
57	2
58	2
59	1
60	1
61	1
62	1
63	1
64	7
65	6
66	6
67	5
68	5
69	1
70	4
71	3
72	3
73	3
74	2
75	2
76	2
77	1
78	1
79	1
80	5
81	3
82	4
83	2
84	2
85	3
86	3
87	1
88	2
89	2
90	2
91	1
92	1
93	1
94	1
95	1
96	5
97	3
98	4
99	2
100	2
101	3
102	4
103	1
104	2
105	2
106	3
107	1
108	1
109	1
110	2