A374932 - cp's OEIS frontend

A374932 Number T(n,k) of partitions of [n] such that the maximal block element sum equals k; triangle T(n,k), n>=0, n <= k <= A000217(n), read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	3
10	3
11	3
12	1
13	1
14	1
15	6
16	6
17	8
18	9
19	9
20	5
21	3
22	3
23	1
24	1
25	1
26	12
27	14
28	20
29	31
30	26
31	32
32	19
33	14
34	11
35	10
36	5
37	3
38	3
39	1
40	1
41	1
42	26
43	31
44	59
45	78
46	111
47	108
48	113
49	76
50	67
51	57
52	39
53	39
54	21
55	16
56	12
57	10
58	5
59	3
60	3
61	1
62	1
63	1
64	57
65	84
66	140
67	260
68	321
69	458
70	427
71	500
72	326
73	300
74	284
75	229
76	182
77	159
78	107
79	79
80	64
81	46
82	41
83	23
84	17
85	12
86	10
87	5
88	3
89	3
90	1
91	1
92	1

[1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 6, 6, 8, 9, 9, 5, 3, 3, 1, 1, 1, 12, 14, 20, 31, 26, 32, 19, 14, 11, 10, 5, 3, 3, 1, 1, 1, 26, 31, 59, 78, 111, 108, 113, 76, 67, 57, 39, 39, 21, 16, 12, 10, 5, 3, 3, 1, 1, 1, 57, 84, 140, 260, 321, 458, 427, 500, 326, 300, 284, 229, 182, 159, 107, 79, 64, 46, 41, 23, 17, 12, 10, 5, 3, 3, 1, 1, 1]

cp's OEIS Frontend

A374932 Number T(n,k) of partitions of [n] such that the maximal block element sum equals k; triangle T(n,k), n>=0, n <= k <= A000217(n), read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	3
10	3
11	3
12	1
13	1
14	1
15	6
16	6
17	8
18	9
19	9
20	5
21	3
22	3
23	1
24	1
25	1
26	12
27	14
28	20
29	31
30	26
31	32
32	19
33	14
34	11
35	10
36	5
37	3
38	3
39	1
40	1
41	1
42	26
43	31
44	59
45	78
46	111
47	108
48	113
49	76
50	67
51	57
52	39
53	39
54	21
55	16
56	12
57	10
58	5
59	3
60	3
61	1
62	1
63	1
64	57
65	84
66	140
67	260
68	321
69	458
70	427
71	500
72	326
73	300
74	284
75	229
76	182
77	159
78	107
79	79
80	64
81	46
82	41
83	23
84	17
85	12
86	10
87	5
88	3
89	3
90	1
91	1
92	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	3
10	3
11	3
12	1
13	1
14	1
15	6
16	6
17	8
18	9
19	9
20	5
21	3
22	3
23	1
24	1
25	1
26	12
27	14
28	20
29	31
30	26
31	32
32	19
33	14
34	11
35	10
36	5
37	3
38	3
39	1
40	1
41	1
42	26
43	31
44	59
45	78
46	111
47	108
48	113
49	76
50	67
51	57
52	39
53	39
54	21
55	16
56	12
57	10
58	5
59	3
60	3
61	1
62	1
63	1
64	57
65	84
66	140
67	260
68	321
69	458
70	427
71	500
72	326
73	300
74	284
75	229
76	182
77	159
78	107
79	79
80	64
81	46
82	41
83	23
84	17
85	12
86	10
87	5
88	3
89	3
90	1
91	1
92	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	3
10	3
11	3
12	1
13	1
14	1
15	6
16	6
17	8
18	9
19	9
20	5
21	3
22	3
23	1
24	1
25	1
26	12
27	14
28	20
29	31
30	26
31	32
32	19
33	14
34	11
35	10
36	5
37	3
38	3
39	1
40	1
41	1
42	26
43	31
44	59
45	78
46	111
47	108
48	113
49	76
50	67
51	57
52	39
53	39
54	21
55	16
56	12
57	10
58	5
59	3
60	3
61	1
62	1
63	1
64	57
65	84
66	140
67	260
68	321
69	458
70	427
71	500
72	326
73	300
74	284
75	229
76	182
77	159
78	107
79	79
80	64
81	46
82	41
83	23
84	17
85	12
86	10
87	5
88	3
89	3
90	1
91	1
92	1