A286425 - cp's OEIS frontend

A286425 Total number of nodes summed over all lattice paths from (0,0) to (n,n) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1) and S=(0,1).

n	a(n)
0	1
1	2
2	8
3	44
4	285
5	2028
6	15338
7	120960
8	983108
9	8172094
10	69116592
11	592590616
12	5136777504
13	44928712804
14	395907022448
15	3510622573064
16	31296093794827
17	280275392413204
18	2520017580255461
19	22736733105613548
20	205767848345966976
21	1867240544055742660

[1, 2, 8, 44, 285, 2028, 15338, 120960, 983108, 8172094, 69116592, 592590616, 5136777504, 44928712804, 395907022448, 3510622573064, 31296093794827, 280275392413204, 2520017580255461, 22736733105613548, 205767848345966976, 1867240544055742660]

cp's OEIS Frontend

A286425 Total number of nodes summed over all lattice paths from (0,0) to (n,n) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1) and S=(0,1).

Table of values

List of values