A353845 - cp's OEIS frontend

A353845 Number of integer partitions of n such that if you repeatedly take the multiset of run-sums (or condensation), you eventually reach an empty set or singleton.

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	2
6	5
7	2
8	8
9	3
10	5
11	2
12	15
13	2
14	5
15	4
16	18
17	2
18	13
19	2
20	14
21	4
22	5
23	2
24	62
25	3
26	5
27	5
28	14
29	2
30	18
31	2
32	48
33	4
34	5
35	4
36	71
37	2
38	5
39	4
40	54
41	2
42	18
43	2
44	14
45	10
46	5
47	2
48	374
49	3
50	9
51	4
52	14
53	2
54	37
55	4
56	54
57	4
58	5
59	2
60	131

[1, 1, 2, 2, 4, 2, 5, 2, 8, 3, 5, 2, 15, 2, 5, 4, 18, 2, 13, 2, 14, 4, 5, 2, 62, 3, 5, 5, 14, 2, 18, 2, 48, 4, 5, 4, 71, 2, 5, 4, 54, 2, 18, 2, 14, 10, 5, 2, 374, 3, 9, 4, 14, 2, 37, 4, 54, 4, 5, 2, 131]

cp's OEIS Frontend

A353845 Number of integer partitions of n such that if you repeatedly take the multiset of run-sums (or condensation), you eventually reach an empty set or singleton.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	2
6	5
7	2
8	8
9	3
10	5
11	2
12	15
13	2
14	5
15	4
16	18
17	2
18	13
19	2
20	14
21	4
22	5
23	2
24	62
25	3
26	5
27	5
28	14
29	2
30	18
31	2
32	48
33	4
34	5
35	4
36	71
37	2
38	5
39	4
40	54
41	2
42	18
43	2
44	14
45	10
46	5
47	2
48	374
49	3
50	9
51	4
52	14
53	2
54	37
55	4
56	54
57	4
58	5
59	2
60	131

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	2
6	5
7	2
8	8
9	3
10	5
11	2
12	15
13	2
14	5
15	4
16	18
17	2
18	13
19	2
20	14
21	4
22	5
23	2
24	62
25	3
26	5
27	5
28	14
29	2
30	18
31	2
32	48
33	4
34	5
35	4
36	71
37	2
38	5
39	4
40	54
41	2
42	18
43	2
44	14
45	10
46	5
47	2
48	374
49	3
50	9
51	4
52	14
53	2
54	37
55	4
56	54
57	4
58	5
59	2
60	131

n	a(n)
0	1
1	1
2	2
3	2
4	4
5	2
6	5
7	2
8	8
9	3
10	5
11	2
12	15
13	2
14	5
15	4
16	18
17	2
18	13
19	2
20	14
21	4
22	5
23	2
24	62
25	3
26	5
27	5
28	14
29	2
30	18
31	2
32	48
33	4
34	5
35	4
36	71
37	2
38	5
39	4
40	54
41	2
42	18
43	2
44	14
45	10
46	5
47	2
48	374
49	3
50	9
51	4
52	14
53	2
54	37
55	4
56	54
57	4
58	5
59	2
60	131