A071919 - cp's OEIS frontend

A071919 Number of monotone nondecreasing functions [n]->[m] for n >= 0, m >= 0, read by antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	1
14	0
15	1
16	4
17	6
18	4
19	1
20	0
21	1
22	5
23	10
24	10
25	5
26	1
27	0
28	1
29	6
30	15
31	20
32	15
33	6
34	1
35	0
36	1
37	7
38	21
39	35
40	35
41	21
42	7
43	1
44	0
45	1
46	8
47	28
48	56
49	70
50	56
51	28
52	8
53	1
54	0
55	1
56	9
57	36
58	84
59	126
60	126
61	84
62	36
63	9
64	1
65	0
66	1
67	10
68	45
69	120
70	210
71	252
72	210
73	120
74	45
75	10
76	1
77	0
78	1
79	11
80	55
81	165
82	330
83	462
84	462
85	330
86	165
87	55
88	11
89	1
90	0

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 3, 1, 0, 1, 4, 6, 4, 1, 0, 1, 5, 10, 10, 5, 1, 0, 1, 6, 15, 20, 15, 6, 1, 0, 1, 7, 21, 35, 35, 21, 7, 1, 0, 1, 8, 28, 56, 70, 56, 28, 8, 1, 0, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 0, 1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1, 0, 1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1, 0]

cp's OEIS Frontend

A071919 Number of monotone nondecreasing functions [n]->[m] for n >= 0, m >= 0, read by antidiagonals.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	1
14	0
15	1
16	4
17	6
18	4
19	1
20	0
21	1
22	5
23	10
24	10
25	5
26	1
27	0
28	1
29	6
30	15
31	20
32	15
33	6
34	1
35	0
36	1
37	7
38	21
39	35
40	35
41	21
42	7
43	1
44	0
45	1
46	8
47	28
48	56
49	70
50	56
51	28
52	8
53	1
54	0
55	1
56	9
57	36
58	84
59	126
60	126
61	84
62	36
63	9
64	1
65	0
66	1
67	10
68	45
69	120
70	210
71	252
72	210
73	120
74	45
75	10
76	1
77	0
78	1
79	11
80	55
81	165
82	330
83	462
84	462
85	330
86	165
87	55
88	11
89	1
90	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	1
14	0
15	1
16	4
17	6
18	4
19	1
20	0
21	1
22	5
23	10
24	10
25	5
26	1
27	0
28	1
29	6
30	15
31	20
32	15
33	6
34	1
35	0
36	1
37	7
38	21
39	35
40	35
41	21
42	7
43	1
44	0
45	1
46	8
47	28
48	56
49	70
50	56
51	28
52	8
53	1
54	0
55	1
56	9
57	36
58	84
59	126
60	126
61	84
62	36
63	9
64	1
65	0
66	1
67	10
68	45
69	120
70	210
71	252
72	210
73	120
74	45
75	10
76	1
77	0
78	1
79	11
80	55
81	165
82	330
83	462
84	462
85	330
86	165
87	55
88	11
89	1
90	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	1
14	0
15	1
16	4
17	6
18	4
19	1
20	0
21	1
22	5
23	10
24	10
25	5
26	1
27	0
28	1
29	6
30	15
31	20
32	15
33	6
34	1
35	0
36	1
37	7
38	21
39	35
40	35
41	21
42	7
43	1
44	0
45	1
46	8
47	28
48	56
49	70
50	56
51	28
52	8
53	1
54	0
55	1
56	9
57	36
58	84
59	126
60	126
61	84
62	36
63	9
64	1
65	0
66	1
67	10
68	45
69	120
70	210
71	252
72	210
73	120
74	45
75	10
76	1
77	0
78	1
79	11
80	55
81	165
82	330
83	462
84	462
85	330
86	165
87	55
88	11
89	1
90	0