A365763 - cp's OEIS frontend

A365763 a(n) = number of polynomials of degree 4 in a regular Groebner basis (graded reverse lexicographic order) of n quadratic polynomials in n variables.

n	a(n)
1	0
2	0
3	1
4	3
5	5
6	10
7	14
8	22
9	29
10	39
11	50
12	60
13	76
14	91
15	105
16	126
17	146
18	165
19	189
20	215
21	240
22	264
23	297
24	329
25	360
26	390
27	430
28	469
29	507
30	544
31	588
32	635
33	681
34	726
35	770
36	826
37	881
38	935

[0, 0, 1, 3, 5, 10, 14, 22, 29, 39, 50, 60, 76, 91, 105, 126, 146, 165, 189, 215, 240, 264, 297, 329, 360, 390, 430, 469, 507, 544, 588, 635, 681, 726, 770, 826, 881, 935]

cp's OEIS Frontend

A365763 a(n) = number of polynomials of degree 4 in a regular Groebner basis (graded reverse lexicographic order) of n quadratic polynomials in n variables.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	3
5	5
6	10
7	14
8	22
9	29
10	39
11	50
12	60
13	76
14	91
15	105
16	126
17	146
18	165
19	189
20	215
21	240
22	264
23	297
24	329
25	360
26	390
27	430
28	469
29	507
30	544
31	588
32	635
33	681
34	726
35	770
36	826
37	881
38	935

n	a(n)
1	0
2	0
3	1
4	3
5	5
6	10
7	14
8	22
9	29
10	39
11	50
12	60
13	76
14	91
15	105
16	126
17	146
18	165
19	189
20	215
21	240
22	264
23	297
24	329
25	360
26	390
27	430
28	469
29	507
30	544
31	588
32	635
33	681
34	726
35	770
36	826
37	881
38	935

n	a(n)
1	0
2	0
3	1
4	3
5	5
6	10
7	14
8	22
9	29
10	39
11	50
12	60
13	76
14	91
15	105
16	126
17	146
18	165
19	189
20	215
21	240
22	264
23	297
24	329
25	360
26	390
27	430
28	469
29	507
30	544
31	588
32	635
33	681
34	726
35	770
36	826
37	881
38	935