Near optimal Golomb rulers

This is an extension of a table by James B. Shearer. It shows the number of distinct optimal and near optimal Golomb Rulers with n marks.

The first column denotes the number of marks, n, the second column displays the length of the shortest rule, k, and the remaining columns show the number of distinct rulers with n marks and length k+0, k+1, k+2, etc.
When you follow a link you will find the list of the rulers that make up the entry. Note that the linked lists include all mirror rulers, thus the amount of rulers you will find is twice the number you see here.

n	k	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
2	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
3	3	1	1	2	2	3	3	4	4	5	5	6	6	7	7	8	8	9	9	10	10	11	11	12	12	13	13	14	14	15	15	16	16	17
4	6	1	3	4	9	8	15	17	24	24	36	36	48	49	63	64	81	80	99	101	120	120	144	144	168	169	195	196	225	224	255	257	288	288
5	11	2	7	14	21	38	50	80	95	142	158	240	245	346	381	490	514	700	716	910	940	1182	1222	1528	1528	1870	1949	2310	2337	2832	2850	3360	3415	3986
6	17	4	4	20	35	86	101	203	282	419	520	861	1007	1442	1622	2312	2633	3626	3865	5158	5805	7397	7862	10337	10856	13704	14495	18027	19043	23536	24188	29689	31271	37282
7	25	5	7	20	60	147	190	429	655	1048	1400	2305	3014	4618	5518	8359	9901	14187	16190	22724	26140	35559	38997	52598	59210	76267	82259	108929	117523	148679	160353	199597	216378	270378
8	34	1	9	14	48	91	192	379	763	1102	2155	3194	5281	7202	11552	15314	23052	28876	43038	53812	76454	91137	125713	152571	207023	237707	321495	370449	486564	546975	721296	808925	1026083	1138979
9	44	1	4	4	21	40	96	167	398	699	1425	2097	4101	6094	10423	14551	24434	33204	52330	68791	105890	136778	199772	246891	359357	448222	625208	747885	1039476	1251035	1677087	1964737	2632035	3077353
10	55	1	0	0	1	2	14	31	74	189	357	660	1159	2224	3696	6681	10306	17924	27062	44011	62046	101360	137989	210625	279484	425174	557424	827708	1034911	1498366	1865041	2637004	3233218	4508361
11	72	2	0	11	12	40	69	110	258	526	1064	1780	3404	5524	10387	16214	27770	41745	68634	102555	159546	227612	357487	489090	747516	1008317	1483472	1950893	2874753	3716407	5287110	6728721	9456371	11893348
12	85	1	0	0	0	0	1	5	9	23	41	107	208	372	759	1498	2487	4779	7765	14051	21511	37226	57040	94323	140717	225673	323491	512858	709497	1094225	1503118	2262643	3044549	4522366
13	106	1	0	0	3	3	9	21	28	72	147	277	564	989	1900	3094	5763	9194	16248	25678	43800	66374	110192	164396	265312	387241	610290	863662	1334752	1864878	2847518	3880399	5781503	7775078
14	127	1	1	3	1	6	4	10	26	45	96	188	309	651	1099	1963	3327	5944	9572	16868	26048	43609	67045	110306	165023	264965	385751	614417	873331	1360677	1914902	2920443	4048850	6088016
15	151	1	2	2	0	5	7	12	16	49	100	181	319	599	1026	1745	2980	5188	8145	13968	21794	36614	55345	91254	136641	219558	321815	508765	733842	1141168	1624314	2481160	3465920	5231327
16	177	1	1	3	3	6	7	18	21	44	82	149	253	458	739	1240	2124	3641	5753	10006	15386	24976	38827	62974	93539	150742	221435	349663	506559	788334	1125124	1726467	2431036	3675651
17	199	1	0	2	1	1	0	2	1	3	1	6	6	9	17	40	53	87	185	303	417	809	1299	2212	3373	5577	8780	14763	21953	35487	53620	85175	125486	196682

n	k	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	40	41	42	43	44	45	46	47	48	49	50	51	52
18	216	1	1	0	1	0	0	0	0	0	0	0	0	2	0	0	2	0	0	0	4	3	2	1	2	3	9	17	19	32	51	113	124	242	401	656	1058	1683	2762	4279	6975	10406	16802	25069	39428	58438	90823	132752	204326	297366
19	246	1	0	0	0	0	0	0	0	0	0	2	2	0	1	0	0	1	0	1	2	2	0	0	2	0	3	5	3	5	5	10	18	46	73	84	185	263	415	647	1112	1578	2647	3963	6302	9559	14784	22110	34197	49868	76972	111066	169746	242800
20	283	1	0	2	0	0	0	0	3	0	1	1	1	2	1	0	0	1	0	0	0	1	3	0	2	2	0	5	4	5	12	15	27	53
21	333	1
22	356
23	372
24	425	1
25	480	1
26	492	1

History:

Jun 22, 2009 - Added nogr21+0
Mar 18, 2009 - Didier Levet independently calculates nogr20+32 (This confirms nogr20+13)
Mar 02, 2009 - Added nogr26+0 according to official distributed.net results
Feb 12, 2009 - Apparently distributed.net did search the full nogr24+0, not just smaller rulers
Dec 30, 2008 - Added nogr25+0 according to official distributed.net results
Dec 28, 2008 - Didier Levet independently calculates nogr19+52 and uncovers some accounting errors in the listed nogr19+48 numbers (fixed after a recount)
Jul 30, 2007 - Didier Levet independently confirms nogr18+48
Jan 23, 2005 - Confirmed nogr19+32 and added nogr19+48 (This implicitly reveals nogr20+13)
Jun 17, 2004 - Confirmed nogr18+29 and added nogr18+48 (This implicitly confirms nogr19+20)
Jan 26, 2004 - Confirmed nogr17+14 and added nogr17+32 (This implicitly confirms nogr18+17)
Dec 21, 2003 - Confirmed nogr16+8 and added nogr16+32 (This implicitly confirms nogr17+12)
Dec 02, 2003 - Confirmed nogr15+16 and added nogr15+32 (This implicitly confirms nogr16+8)
Nov 13, 2003 - Confirmed and added new results up to and including nogr14+32 (Thanks to Didier Levet for notifying me about a bug)
Sep 20, 2003 - Created this page based on previous computations