A370945 - cp's OEIS frontend

A370945 Number T(n,k) of partitions of [n] whose singletons sum to k; triangle T(n,k), n>=0, 0<=k<=A000217(n), read by rows.

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	0
6	1
7	1
8	1
9	1
10	1
11	0
12	0
13	1
14	4
15	1
16	1
17	2
18	2
19	2
20	1
21	1
22	0
23	0
24	1
25	11
26	4
27	4
28	5
29	5
30	6
31	3
32	3
33	3
34	3
35	2
36	1
37	1
38	0
39	0
40	1
41	41
42	11
43	11
44	15
45	15
46	19
47	20
48	13
49	10
50	11
51	8
52	8
53	5
54	4
55	4
56	3
57	2
58	1
59	1
60	0
61	0
62	1
63	162
64	41
65	41
66	52
67	52
68	63
69	67
70	78
71	41
72	45
73	39
74	39
75	33
76	30
77	20
78	17
79	14
80	10
81	10
82	6
83	5
84	4
85	3
86	2
87	1
88	1
89	0
90	0
91	1

[1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 4, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 11, 4, 4, 5, 5, 6, 3, 3, 3, 3, 2, 1, 1, 0, 0, 1, 41, 11, 11, 15, 15, 19, 20, 13, 10, 11, 8, 8, 5, 4, 4, 3, 2, 1, 1, 0, 0, 1, 162, 41, 41, 52, 52, 63, 67, 78, 41, 45, 39, 39, 33, 30, 20, 17, 14, 10, 10, 6, 5, 4, 3, 2, 1, 1, 0, 0, 1]

cp's OEIS Frontend

A370945 Number T(n,k) of partitions of [n] whose singletons sum to k; triangle T(n,k), n>=0, 0<=k<=A000217(n), read by rows.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	0
6	1
7	1
8	1
9	1
10	1
11	0
12	0
13	1
14	4
15	1
16	1
17	2
18	2
19	2
20	1
21	1
22	0
23	0
24	1
25	11
26	4
27	4
28	5
29	5
30	6
31	3
32	3
33	3
34	3
35	2
36	1
37	1
38	0
39	0
40	1
41	41
42	11
43	11
44	15
45	15
46	19
47	20
48	13
49	10
50	11
51	8
52	8
53	5
54	4
55	4
56	3
57	2
58	1
59	1
60	0
61	0
62	1
63	162
64	41
65	41
66	52
67	52
68	63
69	67
70	78
71	41
72	45
73	39
74	39
75	33
76	30
77	20
78	17
79	14
80	10
81	10
82	6
83	5
84	4
85	3
86	2
87	1
88	1
89	0
90	0
91	1

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	0
6	1
7	1
8	1
9	1
10	1
11	0
12	0
13	1
14	4
15	1
16	1
17	2
18	2
19	2
20	1
21	1
22	0
23	0
24	1
25	11
26	4
27	4
28	5
29	5
30	6
31	3
32	3
33	3
34	3
35	2
36	1
37	1
38	0
39	0
40	1
41	41
42	11
43	11
44	15
45	15
46	19
47	20
48	13
49	10
50	11
51	8
52	8
53	5
54	4
55	4
56	3
57	2
58	1
59	1
60	0
61	0
62	1
63	162
64	41
65	41
66	52
67	52
68	63
69	67
70	78
71	41
72	45
73	39
74	39
75	33
76	30
77	20
78	17
79	14
80	10
81	10
82	6
83	5
84	4
85	3
86	2
87	1
88	1
89	0
90	0
91	1

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	0
6	1
7	1
8	1
9	1
10	1
11	0
12	0
13	1
14	4
15	1
16	1
17	2
18	2
19	2
20	1
21	1
22	0
23	0
24	1
25	11
26	4
27	4
28	5
29	5
30	6
31	3
32	3
33	3
34	3
35	2
36	1
37	1
38	0
39	0
40	1
41	41
42	11
43	11
44	15
45	15
46	19
47	20
48	13
49	10
50	11
51	8
52	8
53	5
54	4
55	4
56	3
57	2
58	1
59	1
60	0
61	0
62	1
63	162
64	41
65	41
66	52
67	52
68	63
69	67
70	78
71	41
72	45
73	39
74	39
75	33
76	30
77	20
78	17
79	14
80	10
81	10
82	6
83	5
84	4
85	3
86	2
87	1
88	1
89	0
90	0
91	1