Richard Hamming: "The purpose of computation is insight, not numbers."

Below we list the partitions of the first 25 numbers for dimensions in the range 1 ≤ d ≤ 10. Unless indicated otherwise, these were generated using Knuth's algorithm for topological sequences. These were generated mainly to have an independent check on numbers generated using a modified version of the Bratley-McKay algorithm.

N	1d	2d	3d	4d	5d	6d	7d	8d	9d	10d	N
1	1	1	1	1	1	1	1	1	1	1	1
2	2	3	4	5	6	7	8	9	10	11	2
3	3	6	10	15	21	28	36	45	55	66	3
4	5	13	26	45	71	105	148	201	265	341	4
5	7	24	59	120	216	357	554	819	1165	1606	5
6	11	48	140	326	657	1197	2024	3231	4927	7238	6
7	15	86	307	835	1907	3857	7134	12321	20155	31548	7
8	22	160	684	2145	5507	12300	24796	46209	80920	134728	8
9	30	282	1464	5345	15522	38430	84625	170370	319555	565983	9
10	42	500	3122	13220	43352	118874	285784	621316	1247780	2350183	10
11	56	859	6500	32068	119140	362670	953430	2240838	4821737	9661465	11
12	77	1479	13426	76965	323946	1095430	3151332	8011584	18478640	39401792	12
13	101	2485	27248	181975	869476	3271751	10314257	28395213	70261505	159527302	13
14	135	4167	54804	425490	2308071	9673993	33457972	99845553	265266530	641733862	14
15	176	6879	108802	982615	6056581	28310881	107557792	348333411	994606250	2565774277	15
16	231	11297	214071	2245444	15724170	82033609	342732670	1205925033	3704360354	10198601886	16
17	297	18334	416849	5077090	40393693	235359901	1082509680	4142850423	13705110470	40305279454	17
18	385	29601	805124	11371250	102736274	668779076	3389190112	14122999548	50367905030	158376907546	18
19	490	47330	1541637	25235790	258790004	1882412994	10518508294	47772540002	183864216415	618742851276	19
20	627	75278	2930329	55536870	645968054	5249817573	32361863632	160336300356	666612686420	2403142436321	20
21	792	118794	5528733	121250185	1598460229	14510628853	98711666690	533909133114	2400146830007	9277907267838@	21
22	1002	186475	10362312	262769080	3923114261	39762851345	298546248070	1763901729589	8581152930795	35601295047120@	22
23	1255	290783	19295226	565502405	9554122089	108058883583	895425789360	5781672744441*	30461884866225*	135758936765513*	23
24	1575	451194	35713454	1209096875	23098084695	291331215952	2663818308506	18802643601531*	107358976330035#	514399682236550#	24
25	1958	696033	65715094	2569270050	55458417125	779492325689	7861971702653	60673478894826#	375635994281175#	1936463184206210#	25
N	1d	2d	3d	4d	5d	6d	7d	8d	9d	10d	N

* obtained using the A-matrix
@ obtained using the A-matrix and the C-matrix
# obtained using Bratley's code for the A-matrix