Binary matroids

Number of loopless binary matroids

n\k	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
3	1	2	1	0	0	0	0	0	0	0	0	0	0	0	0
4	1	3	3	1	0	0	0	0	0	0	0	0	0	0	0
5	1	4	6	4	1	0	0	0	0	0	0	0	0	0	0
6	1	6	12	11	5	1	0	0	0	0	0	0	0	0	0
7	1	7	21	27	17	6	1	0	0	0	0	0	0	0	0
8	1	9	34	63	54	25	7	1	0	0	0	0	0	0	0
9	1	11	54	134	163	99	35	8	1	0	0	0	0	0	0
10	1	13	82	276	465	385	170	47	9	1	0	0	0	0	0
11	1	15	120	544	1283	1472	847	277	61	10	1	0	0	0	0
12	1	18	174	1048	3480	5676	4408	1775	436	78	11	1	0	0	0
13	1	20	244	1956	9256	22101	24297	12616	3557	662	97	12	1	0	0
14	1	23	337	3577	24282	87404	143270	102445	34942	6890	979	119	13	1	0
15	1	26	458	6395	62812	350097	901491	957357	428260	94177	12948	1414	144	14	1

Number of simple loopless binary matroids

n\k	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
2	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
3	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0
4	0	0	2	1	0	0	0	0	0	0	0	0	0	0	0
5	0	0	1	3	1	0	0	0	0	0	0	0	0	0	0
6	0	0	1	4	4	1	0	0	0	0	0	0	0	0	0
7	0	0	1	5	8	5	1	0	0	0	0	0	0	0	0
8	0	0	0	6	15	14	6	1	0	0	0	0	0	0	0
9	0	0	0	5	29	38	22	7	1	0	0	0	0	0	0
10	0	0	0	4	46	105	80	32	8	1	0	0	0	0	0
11	0	0	0	3	64	273	312	151	44	9	1	0	0	0	0
12	0	0	0	2	89	700	1285	821	266	59	10	1	0	0	0
13	0	0	0	1	112	1794	5632	5098	1948	440	76	11	1	0	0
14	0	0	0	1	128	4579	26792	37191	17934	4288	695	96	12	1	0
15	0	0	0	1	144	11635	137493	320663	213773	57684	8894	1059	119	13	1

Number of connected simple loopless binary matroids

n\k	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
3	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
4	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0
5	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0
6	0	0	1	2	1	0	0	0	0	0	0	0	0	0	0
7	0	0	1	4	3	1	0	0	0	0	0	0	0	0	0
8	0	0	0	5	9	4	1	0	0	0	0	0	0	0	0
9	0	0	0	5	22	19	6	1	0	0	0	0	0	0	0
10	0	0	0	4	40	70	35	7	1	0	0	0	0	0	0
11	0	0	0	3	60	220	190	59	9	1	0	0	0	0	0
12	0	0	0	2	86	629	977	466	96	11	1	0	0	0	0
13	0	0	0	1	110	1700	4875	3689	1041	147	13	1	0	0	0
14	0	0	0	1	127	4463	24920	31233	12476	2178	218	15	1	0	0
15	0	0	0	1	143	11505	132811	293070	175114	38823	4326	314	18	1	0

Number of connected loopless binary matroids

n\k	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
3	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
4	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
5	1	2	2	1	0	0	0	0	0	0	0	0	0	0	0
6	1	3	5	3	1	0	0	0	0	0	0	0	0	0	0
7	1	4	10	10	4	1	0	0	0	0	0	0	0	0	0
8	1	5	18	28	18	5	1	0	0	0	0	0	0	0	0
9	1	7	31	71	71	31	7	1	0	0	0	0	0	0	0
10	1	8	51	165	250	165	51	8	1	0	0	0	0	0	0
11	1	10	79	361	809	809	361	79	10	1	0	0	0	0	0
12	1	12	121	754	2484	3759	2484	754	121	12	1	0	0	0	0
13	1	14	177	1503	7240	16749	16749	7240	1503	177	14	1	0	0	0
14	1	16	254	2893	20341	72828	113662	72828	20341	2893	254	16	1	0	0
15	1	19	356	5393	55322	311235	784390	784390	311235	55322	5393	356	19	1	0