A051693 - cp's OEIS frontend

A051693 Square array read by antidiagonals: a(n,k) = sum of two positive regular n-polytopic numbers (i.e., a(n,k) = binomial(x,n) + binomial(y,n) for some x,y >= n).

n	a(n)
1	2
2	2
3	3
4	2
5	4
6	4
7	2
8	5
9	6
10	5
11	2
12	6
13	8
14	7
15	6
16	2
17	7
18	10
19	11
20	9
21	7
22	2
23	8
24	12
25	16
26	14
27	11
28	8
29	2
30	9
31	14
32	22
33	20
34	20
35	12
36	9
37	2
38	10
39	16
40	29
41	27
42	30
43	21
44	13
45	10
46	2
47	11
48	18
49	37
50	35
51	42
52	36
53	24
54	16
55	11
56	2
57	12
58	20
59	46
60	44
61	56
62	57
63	40
64	30
65	18
66	12
67	2
68	13
69	22
70	56
71	54
72	72
73	85
74	62
75	50
76	36
77	20
78	13
79	2

[2, 2, 3, 2, 4, 4, 2, 5, 6, 5, 2, 6, 8, 7, 6, 2, 7, 10, 11, 9, 7, 2, 8, 12, 16, 14, 11, 8, 2, 9, 14, 22, 20, 20, 12, 9, 2, 10, 16, 29, 27, 30, 21, 13, 10, 2, 11, 18, 37, 35, 42, 36, 24, 16, 11, 2, 12, 20, 46, 44, 56, 57, 40, 30, 18, 12, 2, 13, 22, 56, 54, 72, 85, 62, 50, 36, 20, 13, 2]

cp's OEIS Frontend

A051693 Square array read by antidiagonals: a(n,k) = sum of two positive regular n-polytopic numbers (i.e., a(n,k) = binomial(x,n) + binomial(y,n) for some x,y >= n).

Table of values

List of values

n	a(n)
1	2
2	2
3	3
4	2
5	4
6	4
7	2
8	5
9	6
10	5
11	2
12	6
13	8
14	7
15	6
16	2
17	7
18	10
19	11
20	9
21	7
22	2
23	8
24	12
25	16
26	14
27	11
28	8
29	2
30	9
31	14
32	22
33	20
34	20
35	12
36	9
37	2
38	10
39	16
40	29
41	27
42	30
43	21
44	13
45	10
46	2
47	11
48	18
49	37
50	35
51	42
52	36
53	24
54	16
55	11
56	2
57	12
58	20
59	46
60	44
61	56
62	57
63	40
64	30
65	18
66	12
67	2
68	13
69	22
70	56
71	54
72	72
73	85
74	62
75	50
76	36
77	20
78	13
79	2

n	a(n)
1	2
2	2
3	3
4	2
5	4
6	4
7	2
8	5
9	6
10	5
11	2
12	6
13	8
14	7
15	6
16	2
17	7
18	10
19	11
20	9
21	7
22	2
23	8
24	12
25	16
26	14
27	11
28	8
29	2
30	9
31	14
32	22
33	20
34	20
35	12
36	9
37	2
38	10
39	16
40	29
41	27
42	30
43	21
44	13
45	10
46	2
47	11
48	18
49	37
50	35
51	42
52	36
53	24
54	16
55	11
56	2
57	12
58	20
59	46
60	44
61	56
62	57
63	40
64	30
65	18
66	12
67	2
68	13
69	22
70	56
71	54
72	72
73	85
74	62
75	50
76	36
77	20
78	13
79	2

n	a(n)
1	2
2	2
3	3
4	2
5	4
6	4
7	2
8	5
9	6
10	5
11	2
12	6
13	8
14	7
15	6
16	2
17	7
18	10
19	11
20	9
21	7
22	2
23	8
24	12
25	16
26	14
27	11
28	8
29	2
30	9
31	14
32	22
33	20
34	20
35	12
36	9
37	2
38	10
39	16
40	29
41	27
42	30
43	21
44	13
45	10
46	2
47	11
48	18
49	37
50	35
51	42
52	36
53	24
54	16
55	11
56	2
57	12
58	20
59	46
60	44
61	56
62	57
63	40
64	30
65	18
66	12
67	2
68	13
69	22
70	56
71	54
72	72
73	85
74	62
75	50
76	36
77	20
78	13
79	2