A367582 - cp's OEIS frontend

A367582 Triangle read by rows where T(n,k) is the number of integer partitions of n whose multiset multiplicity kernel (in which each multiplicity becomes the least element of that multiplicity), sums to k.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	1
9	1
10	0
11	1
12	2
13	1
14	1
15	0
16	1
17	1
18	2
19	2
20	1
21	0
22	1
23	3
24	3
25	2
26	1
27	1
28	0
29	1
30	1
31	4
32	3
33	3
34	2
35	1
36	0
37	1
38	3
39	5
40	4
41	4
42	3
43	1
44	1
45	0
46	1
47	2
48	6
49	4
50	8
51	3
52	3
53	2
54	1
55	0
56	1
57	3
58	7
59	9
60	6
61	7
62	4
63	3
64	1
65	1
66	0
67	1
68	1
69	8
70	7
71	11
72	9
73	9
74	4
75	3
76	2
77	1

[1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 3, 3, 2, 1, 1, 0, 1, 1, 4, 3, 3, 2, 1, 0, 1, 3, 5, 4, 4, 3, 1, 1, 0, 1, 2, 6, 4, 8, 3, 3, 2, 1, 0, 1, 3, 7, 9, 6, 7, 4, 3, 1, 1, 0, 1, 1, 8, 7, 11, 9, 9, 4, 3, 2, 1]

cp's OEIS Frontend

A367582 Triangle read by rows where T(n,k) is the number of integer partitions of n whose multiset multiplicity kernel (in which each multiplicity becomes the least element of that multiplicity), sums to k.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	1
9	1
10	0
11	1
12	2
13	1
14	1
15	0
16	1
17	1
18	2
19	2
20	1
21	0
22	1
23	3
24	3
25	2
26	1
27	1
28	0
29	1
30	1
31	4
32	3
33	3
34	2
35	1
36	0
37	1
38	3
39	5
40	4
41	4
42	3
43	1
44	1
45	0
46	1
47	2
48	6
49	4
50	8
51	3
52	3
53	2
54	1
55	0
56	1
57	3
58	7
59	9
60	6
61	7
62	4
63	3
64	1
65	1
66	0
67	1
68	1
69	8
70	7
71	11
72	9
73	9
74	4
75	3
76	2
77	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	1
9	1
10	0
11	1
12	2
13	1
14	1
15	0
16	1
17	1
18	2
19	2
20	1
21	0
22	1
23	3
24	3
25	2
26	1
27	1
28	0
29	1
30	1
31	4
32	3
33	3
34	2
35	1
36	0
37	1
38	3
39	5
40	4
41	4
42	3
43	1
44	1
45	0
46	1
47	2
48	6
49	4
50	8
51	3
52	3
53	2
54	1
55	0
56	1
57	3
58	7
59	9
60	6
61	7
62	4
63	3
64	1
65	1
66	0
67	1
68	1
69	8
70	7
71	11
72	9
73	9
74	4
75	3
76	2
77	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	1
9	1
10	0
11	1
12	2
13	1
14	1
15	0
16	1
17	1
18	2
19	2
20	1
21	0
22	1
23	3
24	3
25	2
26	1
27	1
28	0
29	1
30	1
31	4
32	3
33	3
34	2
35	1
36	0
37	1
38	3
39	5
40	4
41	4
42	3
43	1
44	1
45	0
46	1
47	2
48	6
49	4
50	8
51	3
52	3
53	2
54	1
55	0
56	1
57	3
58	7
59	9
60	6
61	7
62	4
63	3
64	1
65	1
66	0
67	1
68	1
69	8
70	7
71	11
72	9
73	9
74	4
75	3
76	2
77	1