A246185 - cp's OEIS frontend

A246185 Triangle read by rows: T(n,k) is the number of weighted lattice paths B(n) for which the area between the path and the lines y=0 and y=1 is equal to k. 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: an (1,0)-step of weight 1; an (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	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	5
16	1
17	21
18	20
19	18
20	14
21	8
22	1
23	34
24	38
25	39
26	35
27	26
28	12
29	1
30	55
31	71
32	80
33	80
34	70
35	49
36	17
37	1
38	89
39	130
40	160
41	174
42	169
43	142
44	90
45	23
46	1
47	144
48	235
49	312
50	365
51	385
52	363
53	290
54	158
55	30
56	1
57	233
58	420
59	598
60	745
61	840
62	861
63	785
64	588
65	264
66	38
67	1

[1, 1, 2, 3, 1, 5, 2, 1, 8, 5, 3, 1, 13, 10, 8, 5, 1, 21, 20, 18, 14, 8, 1, 34, 38, 39, 35, 26, 12, 1, 55, 71, 80, 80, 70, 49, 17, 1, 89, 130, 160, 174, 169, 142, 90, 23, 1, 144, 235, 312, 365, 385, 363, 290, 158, 30, 1, 233, 420, 598, 745, 840, 861, 785, 588, 264, 38, 1]

cp's OEIS Frontend

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	5
16	1
17	21
18	20
19	18
20	14
21	8
22	1
23	34
24	38
25	39
26	35
27	26
28	12
29	1
30	55
31	71
32	80
33	80
34	70
35	49
36	17
37	1
38	89
39	130
40	160
41	174
42	169
43	142
44	90
45	23
46	1
47	144
48	235
49	312
50	365
51	385
52	363
53	290
54	158
55	30
56	1
57	233
58	420
59	598
60	745
61	840
62	861
63	785
64	588
65	264
66	38
67	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	5
16	1
17	21
18	20
19	18
20	14
21	8
22	1
23	34
24	38
25	39
26	35
27	26
28	12
29	1
30	55
31	71
32	80
33	80
34	70
35	49
36	17
37	1
38	89
39	130
40	160
41	174
42	169
43	142
44	90
45	23
46	1
47	144
48	235
49	312
50	365
51	385
52	363
53	290
54	158
55	30
56	1
57	233
58	420
59	598
60	745
61	840
62	861
63	785
64	588
65	264
66	38
67	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	5
16	1
17	21
18	20
19	18
20	14
21	8
22	1
23	34
24	38
25	39
26	35
27	26
28	12
29	1
30	55
31	71
32	80
33	80
34	70
35	49
36	17
37	1
38	89
39	130
40	160
41	174
42	169
43	142
44	90
45	23
46	1
47	144
48	235
49	312
50	365
51	385
52	363
53	290
54	158
55	30
56	1
57	233
58	420
59	598
60	745
61	840
62	861
63	785
64	588
65	264
66	38
67	1