A069981 - cp's OEIS frontend

A069981 Hermite's problem: number of positive integral solutions to x + y + z = n subject to x <= y + z, y <= z + x and z <= x + y.

n	a(n)
0	0
1	0
2	0
3	1
4	3
5	3
6	7
7	6
8	12
9	10
10	18
11	15
12	25
13	21
14	33
15	28
16	42
17	36
18	52
19	45
20	63
21	55
22	75
23	66
24	88
25	78
26	102
27	91
28	117
29	105
30	133
31	120
32	150
33	136
34	168
35	153
36	187
37	171
38	207
39	190
40	228
41	210
42	250
43	231
44	273
45	253
46	297
47	276
48	322
49	300
50	348
51	325
52	375
53	351
54	403
55	378
56	432

[0, 0, 0, 1, 3, 3, 7, 6, 12, 10, 18, 15, 25, 21, 33, 28, 42, 36, 52, 45, 63, 55, 75, 66, 88, 78, 102, 91, 117, 105, 133, 120, 150, 136, 168, 153, 187, 171, 207, 190, 228, 210, 250, 231, 273, 253, 297, 276, 322, 300, 348, 325, 375, 351, 403, 378, 432]

cp's OEIS Frontend

A069981 Hermite's problem: number of positive integral solutions to x + y + z = n subject to x <= y + z, y <= z + x and z <= x + y.

Table of values

List of values

n	a(n)
0	0
1	0
2	0
3	1
4	3
5	3
6	7
7	6
8	12
9	10
10	18
11	15
12	25
13	21
14	33
15	28
16	42
17	36
18	52
19	45
20	63
21	55
22	75
23	66
24	88
25	78
26	102
27	91
28	117
29	105
30	133
31	120
32	150
33	136
34	168
35	153
36	187
37	171
38	207
39	190
40	228
41	210
42	250
43	231
44	273
45	253
46	297
47	276
48	322
49	300
50	348
51	325
52	375
53	351
54	403
55	378
56	432

n	a(n)
0	0
1	0
2	0
3	1
4	3
5	3
6	7
7	6
8	12
9	10
10	18
11	15
12	25
13	21
14	33
15	28
16	42
17	36
18	52
19	45
20	63
21	55
22	75
23	66
24	88
25	78
26	102
27	91
28	117
29	105
30	133
31	120
32	150
33	136
34	168
35	153
36	187
37	171
38	207
39	190
40	228
41	210
42	250
43	231
44	273
45	253
46	297
47	276
48	322
49	300
50	348
51	325
52	375
53	351
54	403
55	378
56	432

n	a(n)
0	0
1	0
2	0
3	1
4	3
5	3
6	7
7	6
8	12
9	10
10	18
11	15
12	25
13	21
14	33
15	28
16	42
17	36
18	52
19	45
20	63
21	55
22	75
23	66
24	88
25	78
26	102
27	91
28	117
29	105
30	133
31	120
32	150
33	136
34	168
35	153
36	187
37	171
38	207
39	190
40	228
41	210
42	250
43	231
44	273
45	253
46	297
47	276
48	322
49	300
50	348
51	325
52	375
53	351
54	403
55	378
56	432