A333071 - cp's OEIS frontend

A333071 Total area under all lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}.

n	a(n)
0	0
1	0
2	1
3	4
4	16
5	63
6	239
7	895
8	3343
9	12503
10	46905
11	176620
12	667664
13	2533699
14	9650737
15	36887383
16	141448958
17	544022417
18	2098082719
19	8111788699
20	31434420426
21	122068414186
22	474932563378
23	1851059631879
24	7226108097869
25	28250493771358
26	110594307388370
27	433488248791630

[0, 0, 1, 4, 16, 63, 239, 895, 3343, 12503, 46905, 176620, 667664, 2533699, 9650737, 36887383, 141448958, 544022417, 2098082719, 8111788699, 31434420426, 122068414186, 474932563378, 1851059631879, 7226108097869, 28250493771358, 110594307388370, 433488248791630]

cp's OEIS Frontend

A333071 Total area under all lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}.

Table of values

List of values