A366920 - cp's OEIS frontend

A366920 a(n) is the number times a Dyck path in an m X m box of any size has area n, counted to the lower right.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	1
10	1
11	3
12	3
13	3
14	2
15	2
16	5
17	6
18	7
19	7
20	5
21	6
22	8
23	12
24	15
25	18
26	16
27	16
28	15
29	17
30	24
31	32
32	40
33	43
34	45
35	45
36	42
37	44
38	53
39	69
40	87
41	104
42	115
43	126
44	125
45	124
46	124
47	136
48	160
49	198
50	240
51	282
52	321
53	345
54	360
55	365
56	367
57	382
58	417
59	482
60	574
61	682
62	791
63	895
64	976

[1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 2, 2, 5, 6, 7, 7, 5, 6, 8, 12, 15, 18, 16, 16, 15, 17, 24, 32, 40, 43, 45, 45, 42, 44, 53, 69, 87, 104, 115, 126, 125, 124, 124, 136, 160, 198, 240, 282, 321, 345, 360, 365, 367, 382, 417, 482, 574, 682, 791, 895, 976]

cp's OEIS Frontend

A366920 a(n) is the number times a Dyck path in an m X m box of any size has area n, counted to the lower right.

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	1
10	1
11	3
12	3
13	3
14	2
15	2
16	5
17	6
18	7
19	7
20	5
21	6
22	8
23	12
24	15
25	18
26	16
27	16
28	15
29	17
30	24
31	32
32	40
33	43
34	45
35	45
36	42
37	44
38	53
39	69
40	87
41	104
42	115
43	126
44	125
45	124
46	124
47	136
48	160
49	198
50	240
51	282
52	321
53	345
54	360
55	365
56	367
57	382
58	417
59	482
60	574
61	682
62	791
63	895
64	976

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	1
10	1
11	3
12	3
13	3
14	2
15	2
16	5
17	6
18	7
19	7
20	5
21	6
22	8
23	12
24	15
25	18
26	16
27	16
28	15
29	17
30	24
31	32
32	40
33	43
34	45
35	45
36	42
37	44
38	53
39	69
40	87
41	104
42	115
43	126
44	125
45	124
46	124
47	136
48	160
49	198
50	240
51	282
52	321
53	345
54	360
55	365
56	367
57	382
58	417
59	482
60	574
61	682
62	791
63	895
64	976

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	1
10	1
11	3
12	3
13	3
14	2
15	2
16	5
17	6
18	7
19	7
20	5
21	6
22	8
23	12
24	15
25	18
26	16
27	16
28	15
29	17
30	24
31	32
32	40
33	43
34	45
35	45
36	42
37	44
38	53
39	69
40	87
41	104
42	115
43	126
44	125
45	124
46	124
47	136
48	160
49	198
50	240
51	282
52	321
53	345
54	360
55	365
56	367
57	382
58	417
59	482
60	574
61	682
62	791
63	895
64	976