A246177 - cp's OEIS frontend

A246177 Triangle read by rows: T(n,k) is the number of weighted lattice paths in B(n) such that the area between the x-axis and the path is k.

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	2
7	1
8	8
9	5
10	3
11	1
12	13
13	10
14	8
15	4
16	2
17	21
18	20
19	18
20	12
21	7
22	3
23	1
24	34
25	38
26	39
27	30
28	22
29	12
30	7
31	2
32	1
33	55
34	71
35	80
36	70
37	57
38	39
39	26
40	14
41	7
42	3
43	1
44	89
45	130
46	160
47	154
48	138
49	106
50	81
51	52
52	34
53	18
54	10
55	4
56	2
57	144
58	235
59	312
60	327
61	315
62	267
63	220
64	163
65	118
66	78
67	49
68	28
69	16
70	7
71	3
72	1

[1, 1, 2, 3, 1, 5, 2, 1, 8, 5, 3, 1, 13, 10, 8, 4, 2, 21, 20, 18, 12, 7, 3, 1, 34, 38, 39, 30, 22, 12, 7, 2, 1, 55, 71, 80, 70, 57, 39, 26, 14, 7, 3, 1, 89, 130, 160, 154, 138, 106, 81, 52, 34, 18, 10, 4, 2, 144, 235, 312, 327, 315, 267, 220, 163, 118, 78, 49, 28, 16, 7, 3, 1]

cp's OEIS Frontend

A246177 Triangle read by rows: T(n,k) is the number of weighted lattice paths in B(n) such that the area between the x-axis and the path is k.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	2
7	1
8	8
9	5
10	3
11	1
12	13
13	10
14	8
15	4
16	2
17	21
18	20
19	18
20	12
21	7
22	3
23	1
24	34
25	38
26	39
27	30
28	22
29	12
30	7
31	2
32	1
33	55
34	71
35	80
36	70
37	57
38	39
39	26
40	14
41	7
42	3
43	1
44	89
45	130
46	160
47	154
48	138
49	106
50	81
51	52
52	34
53	18
54	10
55	4
56	2
57	144
58	235
59	312
60	327
61	315
62	267
63	220
64	163
65	118
66	78
67	49
68	28
69	16
70	7
71	3
72	1

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	2
7	1
8	8
9	5
10	3
11	1
12	13
13	10
14	8
15	4
16	2
17	21
18	20
19	18
20	12
21	7
22	3
23	1
24	34
25	38
26	39
27	30
28	22
29	12
30	7
31	2
32	1
33	55
34	71
35	80
36	70
37	57
38	39
39	26
40	14
41	7
42	3
43	1
44	89
45	130
46	160
47	154
48	138
49	106
50	81
51	52
52	34
53	18
54	10
55	4
56	2
57	144
58	235
59	312
60	327
61	315
62	267
63	220
64	163
65	118
66	78
67	49
68	28
69	16
70	7
71	3
72	1

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	2
7	1
8	8
9	5
10	3
11	1
12	13
13	10
14	8
15	4
16	2
17	21
18	20
19	18
20	12
21	7
22	3
23	1
24	34
25	38
26	39
27	30
28	22
29	12
30	7
31	2
32	1
33	55
34	71
35	80
36	70
37	57
38	39
39	26
40	14
41	7
42	3
43	1
44	89
45	130
46	160
47	154
48	138
49	106
50	81
51	52
52	34
53	18
54	10
55	4
56	2
57	144
58	235
59	312
60	327
61	315
62	267
63	220
64	163
65	118
66	78
67	49
68	28
69	16
70	7
71	3
72	1