A246181 - cp's OEIS frontend

A246181 Triangle read by rows: T(n,k) is the number of weighted lattice paths B(n) having k (1,0)-steps of weight 1. B(n) is the set of lattice paths of weight n that start in (0,0), end on the horizontal axis and never go below this axis, whose steps are of the following four kinds: a (1,0)-step of weight 1; a (1,0)-step of weight 2; a (1,1)-step of weight 2; a (1,-1)-step of weight 1. The weight of a path is the sum of the weights of its steps.

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	3
12	3
13	0
14	1
15	3
16	3
17	6
18	4
19	0
20	1
21	3
22	12
23	6
24	10
25	5
26	0
27	1
28	6
29	14
30	30
31	10
32	15
33	6
34	0
35	1
36	11
37	30
38	40
39	60
40	15
41	21
42	7
43	0
44	1
45	15
46	65
47	90
48	90
49	105
50	21
51	28
52	8
53	0
54	1
55	31
56	95
57	225
58	210
59	175
60	168
61	28
62	36
63	9
64	0
65	1
66	50
67	216
68	350
69	595
70	420
71	308
72	252
73	36
74	45
75	10
76	0
77	1

[1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 3, 3, 0, 1, 3, 3, 6, 4, 0, 1, 3, 12, 6, 10, 5, 0, 1, 6, 14, 30, 10, 15, 6, 0, 1, 11, 30, 40, 60, 15, 21, 7, 0, 1, 15, 65, 90, 90, 105, 21, 28, 8, 0, 1, 31, 95, 225, 210, 175, 168, 28, 36, 9, 0, 1, 50, 216, 350, 595, 420, 308, 252, 36, 45, 10, 0, 1]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	3
12	3
13	0
14	1
15	3
16	3
17	6
18	4
19	0
20	1
21	3
22	12
23	6
24	10
25	5
26	0
27	1
28	6
29	14
30	30
31	10
32	15
33	6
34	0
35	1
36	11
37	30
38	40
39	60
40	15
41	21
42	7
43	0
44	1
45	15
46	65
47	90
48	90
49	105
50	21
51	28
52	8
53	0
54	1
55	31
56	95
57	225
58	210
59	175
60	168
61	28
62	36
63	9
64	0
65	1
66	50
67	216
68	350
69	595
70	420
71	308
72	252
73	36
74	45
75	10
76	0
77	1

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	3
12	3
13	0
14	1
15	3
16	3
17	6
18	4
19	0
20	1
21	3
22	12
23	6
24	10
25	5
26	0
27	1
28	6
29	14
30	30
31	10
32	15
33	6
34	0
35	1
36	11
37	30
38	40
39	60
40	15
41	21
42	7
43	0
44	1
45	15
46	65
47	90
48	90
49	105
50	21
51	28
52	8
53	0
54	1
55	31
56	95
57	225
58	210
59	175
60	168
61	28
62	36
63	9
64	0
65	1
66	50
67	216
68	350
69	595
70	420
71	308
72	252
73	36
74	45
75	10
76	0
77	1

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	3
12	3
13	0
14	1
15	3
16	3
17	6
18	4
19	0
20	1
21	3
22	12
23	6
24	10
25	5
26	0
27	1
28	6
29	14
30	30
31	10
32	15
33	6
34	0
35	1
36	11
37	30
38	40
39	60
40	15
41	21
42	7
43	0
44	1
45	15
46	65
47	90
48	90
49	105
50	21
51	28
52	8
53	0
54	1
55	31
56	95
57	225
58	210
59	175
60	168
61	28
62	36
63	9
64	0
65	1
66	50
67	216
68	350
69	595
70	420
71	308
72	252
73	36
74	45
75	10
76	0
77	1