A306697 - cp's OEIS frontend

A306697 Square array T(n, k) read by antidiagonals, n > 0 and k > 0: T(n, k) is obtained by applying a Minkowski sum to sets related to the Fermi-Dirac factorizations of n and of k (see Comments for precise definition).

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	7
25	16
26	7
27	6
28	1
29	1
30	7
31	15
32	25
33	25
34	15
35	7
36	1
37	1
38	8
39	11
40	36
41	11
42	36
43	11
44	8
45	1
46	1
47	9
48	27
49	49
50	35
51	35
52	49
53	27
54	9
55	1
56	1
57	10
58	25
59	64
60	13
61	30
62	13
63	64
64	25
65	10
66	1
67	1
68	11
69	21
70	81
71	125
72	77
73	77
74	125
75	81

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 5, 4, 1, 1, 5, 9, 9, 5, 1, 1, 6, 7, 16, 7, 6, 1, 1, 7, 15, 25, 25, 15, 7, 1, 1, 8, 11, 36, 11, 36, 11, 8, 1, 1, 9, 27, 49, 35, 35, 49, 27, 9, 1, 1, 10, 25, 64, 13, 30, 13, 64, 25, 10, 1, 1, 11, 21, 81, 125, 77, 77, 125, 81]

cp's OEIS Frontend

A306697 Square array T(n, k) read by antidiagonals, n > 0 and k > 0: T(n, k) is obtained by applying a Minkowski sum to sets related to the Fermi-Dirac factorizations of n and of k (see Comments for precise definition).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	7
25	16
26	7
27	6
28	1
29	1
30	7
31	15
32	25
33	25
34	15
35	7
36	1
37	1
38	8
39	11
40	36
41	11
42	36
43	11
44	8
45	1
46	1
47	9
48	27
49	49
50	35
51	35
52	49
53	27
54	9
55	1
56	1
57	10
58	25
59	64
60	13
61	30
62	13
63	64
64	25
65	10
66	1
67	1
68	11
69	21
70	81
71	125
72	77
73	77
74	125
75	81

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	7
25	16
26	7
27	6
28	1
29	1
30	7
31	15
32	25
33	25
34	15
35	7
36	1
37	1
38	8
39	11
40	36
41	11
42	36
43	11
44	8
45	1
46	1
47	9
48	27
49	49
50	35
51	35
52	49
53	27
54	9
55	1
56	1
57	10
58	25
59	64
60	13
61	30
62	13
63	64
64	25
65	10
66	1
67	1
68	11
69	21
70	81
71	125
72	77
73	77
74	125
75	81

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	5
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	7
25	16
26	7
27	6
28	1
29	1
30	7
31	15
32	25
33	25
34	15
35	7
36	1
37	1
38	8
39	11
40	36
41	11
42	36
43	11
44	8
45	1
46	1
47	9
48	27
49	49
50	35
51	35
52	49
53	27
54	9
55	1
56	1
57	10
58	25
59	64
60	13
61	30
62	13
63	64
64	25
65	10
66	1
67	1
68	11
69	21
70	81
71	125
72	77
73	77
74	125
75	81