A286765 - cp's OEIS frontend

A286765 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), H=(1,0) and S=(0,1).

n	a(n)
0	1
1	5
2	36
3	320
4	3204
5	34488
6	389320
7	4542784
8	54298992
9	660897208
10	8157832672
11	101824497960
12	1282453483896
13	16272274720064
14	207749196820392
15	2666235340584848
16	34371222980687520
17	444797703379924056
18	5775424372048775480
19	75210745056872493904

[1, 5, 36, 320, 3204, 34488, 389320, 4542784, 54298992, 660897208, 8157832672, 101824497960, 1282453483896, 16272274720064, 207749196820392, 2666235340584848, 34371222980687520, 444797703379924056, 5775424372048775480, 75210745056872493904]

cp's OEIS Frontend

A286765 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), H=(1,0) and S=(0,1).

Table of values

List of values