User:Jason Kimberley/A051031

A051031

Triangular array E(n,r) that counts the isomorphism classes of not-necessarily connected r-regular simple graphs on n vertices.

C D E

E with girth at least: 3 4 5

A005176	$n$	A000012	A000012(n/2)	A008483	A005638(n/2)	A033301	A165626(n/2)	A165627	A165628(n/2)	A180260
$\forall$	$r$	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39
1	1	1
2	2	1	1
2	3	1	0	1
4	4	1	1	1	1
3	5	1	0	1	0	1
8	6	1	1	2	2	1	1
6	7	1	0	2	0	2	0	1
22	8	1	1	3	6	6	3	1	1
26	9	1	0	4	0	16	0	4	0	1
176	10	1	1	5	21	60	60	21	5	1	1
546	11	1	0	6	0	266	0	266	0	6	0	1
19002	12	1	1	9	94	1547	7849	7849	1547	94	9	1	1
389454	13	1	0	10	0	10786	0	367860	0	10786	0	10	0	1
50314870	14	1	1	13	540	88193	3459386	21609301	21609301	3459386	88193	540	13	1	1
2942198546	15	1	0	17	0	805579	0	1470293676	0	1470293676	0	805579	0	17	0	1
1698517037030	16	1	1	21	4207	8037796	2585136741	113314233813	733351105935	733351105935	113314233813	2585136741	8037796	4207	21	1	1
	17	1	0	25	0	86223660	0	9799685588961	0		0	9799685588961	0	86223660	0	25	0	1
	18	1	1	33	42110	985883873	2807105258926							2807105258926	985883873	42110	33	1	1
	19	1	0	39	0	11946592242	0		0		0		0		0	11946592242	0	39	0	1
	20	1	1	49	516344	152808993767											152808993767	516344	49	1	1
	21	1	0	60	0	2056701139136	0		0		0		0		0		0	2056701139136	0	60	0	1
	22	1	1	73	7373924															7373924	73	1	1
	23	1	0	88	0		0		0		0		0		0		0		0		0	88	0	1
	24	1	1	110	118573592																	118573592	110	1	1
	25	1	0	130	0		0		0		0		0		0		0		0		0		0	130	0	1
	26	1	1	158	2103205738																			2103205738	158	1	1
	27	1	0	191	0		0		0		0		0		0		0		0		0		0		0	191	0	1
	28	1	1	230	40634185402																					40634185402	230	1	1
	29	1	0	273	0		0		0		0		0		0		0		0		0		0		0		0	273	0	1
	30	1	1	331	847871397424																							847871397424	331	1	1
	31	1	0	391	0		0		0		0		0		0		0		0		0		0		0		0		0	391	0	1
	32	1	1	468	18987149095005																									18987149095005	468	1	1
	33	1	0	556	0		0		0		0		0		0		0		0		0		0		0		0		0		0	556	0	1
	34	1	1	660	454032821688754																											454032821688754	660	1	1
	35	1	0	779	0		0		0		0		0		0		0		0		0		0		0		0		0		0		0	779	0	1
	36	1	1	927	11544329612485981																													11544329612485981	927	1	1
	37	1	0	1087	0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0	1087	0	1
	38	1	1	1284	310964453836198311																															310964453836198311	1284	1	1
	39	1	0	1510	0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0		0	1510	0	1
	40	1	1	1775	8845303172513781271																																	8845303172513781271	1775	1	1