A140188 - cp's OEIS frontend

A140188 Table read by rows: T(n,k) is the number of groupoids (categories all of whose morphisms are invertible) with n morphisms and k objects.

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

[1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 3, 3, 1, 1, 2, 4, 5, 3, 1, 1, 1, 5, 6, 5, 3, 1, 1, 5, 8, 10, 9, 5, 3, 1, 1, 2, 10, 14, 12, 9, 5, 3, 1, 1, 2, 13, 21, 20, 15, 9, 5, 3, 1, 1, 1, 13, 24, 29, 23, 15, 9, 5, 3, 1, 1, 5, 20, 39, 42, 37, 27, 15, 9, 5, 3, 1, 1, 1, 19, 43, 58, 53, 40, 27, 15, 9, 5, 3, 1, 1, 2]

cp's OEIS Frontend

A140188 Table read by rows: T(n,k) is the number of groupoids (categories all of whose morphisms are invertible) with n morphisms and k objects.

Table of values

List of values

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

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

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