A322596 - cp's OEIS frontend

A322596 Square array read by descending antidiagonals (n >= 0, k >= 0): let b(n,k) = (n+k)!/((n+1)!*k!); then T(n,k) = b(n,k) if b(n,k) is an integer, and T(n,k) = floor(b(n,k)) + 1 otherwise.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	2
12	2
13	1
14	1
15	1
16	3
17	4
18	3
19	1
20	1
21	1
22	3
23	5
24	5
25	3
26	1
27	1
28	1
29	4
30	7
31	9
32	7
33	4
34	1
35	1
36	1
37	4
38	10
39	14
40	14
41	10
42	4
43	1
44	1
45	1
46	5
47	12
48	21
49	26
50	21
51	12
52	5
53	1
54	1
55	1
56	5
57	15
58	30
59	42
60	42
61	30
62	15
63	5
64	1
65	1
66	1
67	6
68	19
69	42
70	66
71	77
72	66
73	42
74	19
75	6
76	1
77	1
78	1
79	6
80	22
81	55
82	99
83	132
84	132
85	99
86	55
87	22
88	6
89	1
90	1

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 3, 4, 3, 1, 1, 1, 3, 5, 5, 3, 1, 1, 1, 4, 7, 9, 7, 4, 1, 1, 1, 4, 10, 14, 14, 10, 4, 1, 1, 1, 5, 12, 21, 26, 21, 12, 5, 1, 1, 1, 5, 15, 30, 42, 42, 30, 15, 5, 1, 1, 1, 6, 19, 42, 66, 77, 66, 42, 19, 6, 1, 1, 1, 6, 22, 55, 99, 132, 132, 99, 55, 22, 6, 1, 1]

cp's OEIS Frontend

A322596 Square array read by descending antidiagonals (n >= 0, k >= 0): let b(n,k) = (n+k)!/((n+1)!*k!); then T(n,k) = b(n,k) if b(n,k) is an integer, and T(n,k) = floor(b(n,k)) + 1 otherwise.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	2
12	2
13	1
14	1
15	1
16	3
17	4
18	3
19	1
20	1
21	1
22	3
23	5
24	5
25	3
26	1
27	1
28	1
29	4
30	7
31	9
32	7
33	4
34	1
35	1
36	1
37	4
38	10
39	14
40	14
41	10
42	4
43	1
44	1
45	1
46	5
47	12
48	21
49	26
50	21
51	12
52	5
53	1
54	1
55	1
56	5
57	15
58	30
59	42
60	42
61	30
62	15
63	5
64	1
65	1
66	1
67	6
68	19
69	42
70	66
71	77
72	66
73	42
74	19
75	6
76	1
77	1
78	1
79	6
80	22
81	55
82	99
83	132
84	132
85	99
86	55
87	22
88	6
89	1
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	2
12	2
13	1
14	1
15	1
16	3
17	4
18	3
19	1
20	1
21	1
22	3
23	5
24	5
25	3
26	1
27	1
28	1
29	4
30	7
31	9
32	7
33	4
34	1
35	1
36	1
37	4
38	10
39	14
40	14
41	10
42	4
43	1
44	1
45	1
46	5
47	12
48	21
49	26
50	21
51	12
52	5
53	1
54	1
55	1
56	5
57	15
58	30
59	42
60	42
61	30
62	15
63	5
64	1
65	1
66	1
67	6
68	19
69	42
70	66
71	77
72	66
73	42
74	19
75	6
76	1
77	1
78	1
79	6
80	22
81	55
82	99
83	132
84	132
85	99
86	55
87	22
88	6
89	1
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	2
12	2
13	1
14	1
15	1
16	3
17	4
18	3
19	1
20	1
21	1
22	3
23	5
24	5
25	3
26	1
27	1
28	1
29	4
30	7
31	9
32	7
33	4
34	1
35	1
36	1
37	4
38	10
39	14
40	14
41	10
42	4
43	1
44	1
45	1
46	5
47	12
48	21
49	26
50	21
51	12
52	5
53	1
54	1
55	1
56	5
57	15
58	30
59	42
60	42
61	30
62	15
63	5
64	1
65	1
66	1
67	6
68	19
69	42
70	66
71	77
72	66
73	42
74	19
75	6
76	1
77	1
78	1
79	6
80	22
81	55
82	99
83	132
84	132
85	99
86	55
87	22
88	6
89	1
90	1