A007747 - cp's OEIS frontend

A007747 Number of nonnegative integer points (p_1,p_2,...,p_n) in polytope defined by p_0 = p_{n+1} = 0, 2p_i - (p_{i+1} + p_{i-1}) <= 2, p_i >= 0, i=1,...,n. Number of score sequences in a chess tournament with n+1 players (with 3 outcomes for each game).

n	a(n)
0	1
1	2
2	5
3	16
4	59
5	247
6	1111
7	5302
8	26376
9	135670
10	716542
11	3868142
12	21265884
13	118741369
14	671906876
15	3846342253
16	22243294360
17	129793088770
18	763444949789
19	4522896682789
20	26968749517543
21	161750625450884

[1, 2, 5, 16, 59, 247, 1111, 5302, 26376, 135670, 716542, 3868142, 21265884, 118741369, 671906876, 3846342253, 22243294360, 129793088770, 763444949789, 4522896682789, 26968749517543, 161750625450884]

cp's OEIS Frontend

A007747 Number of nonnegative integer points (p_1,p_2,...,p_n) in polytope defined by p_0 = p_{n+1} = 0, 2p_i - (p_{i+1} + p_{i-1}) <= 2, p_i >= 0, i=1,...,n. Number of score sequences in a chess tournament with n+1 players (with 3 outcomes for each game).

Table of values

List of values