A319907 - cp's OEIS frontend

A319907 Number of distinct integers that can be obtained by iteratively adding any two or multiplying any two non-1 parts of an integer partition until only one part remains, starting with the integer partition with Heinz number n.

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

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

cp's OEIS Frontend

A319907 Number of distinct integers that can be obtained by iteratively adding any two or multiplying any two non-1 parts of an integer partition until only one part remains, starting with the integer partition with Heinz number n.

Table of values

List of values

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

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

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