A101475 - cp's OEIS frontend

A101475 Triangle T(n,k) read by rows: number of lattice paths from (0,0) to (0,2n) with steps (1,1) or (1,-1) that stay between the lines y=0 and y=k.

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	6
6	10
7	15
8	19
9	20
10	35
11	50
12	63
13	69
14	70
15	126
16	176
17	217
18	243
19	251
20	252
21	462
22	638
23	770
24	870
25	913
26	923
27	924
28	1716
29	2354
30	2794
31	3159
32	3355
33	3419
34	3431
35	3432
36	6435
37	8789
38	10307
39	11610
40	12430
41	12766
42	12855
43	12869
44	12870
45	24310
46	33099
47	38489

[1, 1, 2, 3, 5, 6, 10, 15, 19, 20, 35, 50, 63, 69, 70, 126, 176, 217, 243, 251, 252, 462, 638, 770, 870, 913, 923, 924, 1716, 2354, 2794, 3159, 3355, 3419, 3431, 3432, 6435, 8789, 10307, 11610, 12430, 12766, 12855, 12869, 12870, 24310, 33099, 38489]

cp's OEIS Frontend

A101475 Triangle T(n,k) read by rows: number of lattice paths from (0,0) to (0,2n) with steps (1,1) or (1,-1) that stay between the lines y=0 and y=k.

Table of values

List of values