A367955 - cp's OEIS frontend

A367955 Number T(n,k) of partitions of [n] whose block maxima sum to k, triangle T(n,k), n>=0, n<=k<=n*(n+1)/2, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	2
11	5
12	2
13	3
14	1
15	1
16	1
17	2
18	5
19	10
20	7
21	7
22	11
23	3
24	4
25	1
26	1
27	1
28	2
29	5
30	10
31	23
32	15
33	23
34	25
35	37
36	18
37	14
38	19
39	4
40	5
41	1
42	1
43	1
44	2
45	5
46	10
47	23
48	47
49	39
50	49
51	81
52	84
53	129
54	74
55	78
56	70
57	87
58	33
59	23
60	29
61	5
62	6
63	1
64	1
65	1
66	2
67	5
68	10
69	23
70	47
71	103
72	81
73	129
74	172
75	261
76	304
77	431
78	299
79	325
80	376
81	317
82	424
83	196
84	183
85	144
86	165
87	52
88	34
89	41
90	6
91	7
92	1

[1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 2, 3, 1, 1, 1, 2, 5, 10, 7, 7, 11, 3, 4, 1, 1, 1, 2, 5, 10, 23, 15, 23, 25, 37, 18, 14, 19, 4, 5, 1, 1, 1, 2, 5, 10, 23, 47, 39, 49, 81, 84, 129, 74, 78, 70, 87, 33, 23, 29, 5, 6, 1, 1, 1, 2, 5, 10, 23, 47, 103, 81, 129, 172, 261, 304, 431, 299, 325, 376, 317, 424, 196, 183, 144, 165, 52, 34, 41, 6, 7, 1]

cp's OEIS Frontend

A367955 Number T(n,k) of partitions of [n] whose block maxima sum to k, triangle T(n,k), n>=0, n<=k<=n*(n+1)/2, read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	2
11	5
12	2
13	3
14	1
15	1
16	1
17	2
18	5
19	10
20	7
21	7
22	11
23	3
24	4
25	1
26	1
27	1
28	2
29	5
30	10
31	23
32	15
33	23
34	25
35	37
36	18
37	14
38	19
39	4
40	5
41	1
42	1
43	1
44	2
45	5
46	10
47	23
48	47
49	39
50	49
51	81
52	84
53	129
54	74
55	78
56	70
57	87
58	33
59	23
60	29
61	5
62	6
63	1
64	1
65	1
66	2
67	5
68	10
69	23
70	47
71	103
72	81
73	129
74	172
75	261
76	304
77	431
78	299
79	325
80	376
81	317
82	424
83	196
84	183
85	144
86	165
87	52
88	34
89	41
90	6
91	7
92	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	2
11	5
12	2
13	3
14	1
15	1
16	1
17	2
18	5
19	10
20	7
21	7
22	11
23	3
24	4
25	1
26	1
27	1
28	2
29	5
30	10
31	23
32	15
33	23
34	25
35	37
36	18
37	14
38	19
39	4
40	5
41	1
42	1
43	1
44	2
45	5
46	10
47	23
48	47
49	39
50	49
51	81
52	84
53	129
54	74
55	78
56	70
57	87
58	33
59	23
60	29
61	5
62	6
63	1
64	1
65	1
66	2
67	5
68	10
69	23
70	47
71	103
72	81
73	129
74	172
75	261
76	304
77	431
78	299
79	325
80	376
81	317
82	424
83	196
84	183
85	144
86	165
87	52
88	34
89	41
90	6
91	7
92	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	2
11	5
12	2
13	3
14	1
15	1
16	1
17	2
18	5
19	10
20	7
21	7
22	11
23	3
24	4
25	1
26	1
27	1
28	2
29	5
30	10
31	23
32	15
33	23
34	25
35	37
36	18
37	14
38	19
39	4
40	5
41	1
42	1
43	1
44	2
45	5
46	10
47	23
48	47
49	39
50	49
51	81
52	84
53	129
54	74
55	78
56	70
57	87
58	33
59	23
60	29
61	5
62	6
63	1
64	1
65	1
66	2
67	5
68	10
69	23
70	47
71	103
72	81
73	129
74	172
75	261
76	304
77	431
78	299
79	325
80	376
81	317
82	424
83	196
84	183
85	144
86	165
87	52
88	34
89	41
90	6
91	7
92	1