A038717 - cp's OEIS frontend

A038717 Triangular array read by rows: T(n,m) = number of ways your team can score m points in n rounds of a soccer competition (loss=0 point, draw=1 point, win=3 points), for n >= 0, 0 <= m <= 3n.

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	2
7	1
8	2
9	2
10	0
11	1
12	1
13	3
14	3
15	4
16	6
17	3
18	3
19	3
20	0
21	1
22	1
23	4
24	6
25	8
26	13
27	12
28	10
29	12
30	6
31	4
32	4
33	0
34	1
35	1
36	5
37	10
38	15
39	25
40	31
41	30
42	35
43	30
44	20
45	20
46	10
47	5
48	5
49	0
50	1
51	1
52	6
53	15
54	26
55	45
56	66
57	76
58	90
59	96
60	80
61	75
62	60
63	35
64	30
65	15
66	6
67	6
68	0
69	1
70	1
71	7
72	21
73	42
74	77
75	126
76	168
77	211
78	252
79	252
80	245
81	231

[1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 3, 3, 4, 6, 3, 3, 3, 0, 1, 1, 4, 6, 8, 13, 12, 10, 12, 6, 4, 4, 0, 1, 1, 5, 10, 15, 25, 31, 30, 35, 30, 20, 20, 10, 5, 5, 0, 1, 1, 6, 15, 26, 45, 66, 76, 90, 96, 80, 75, 60, 35, 30, 15, 6, 6, 0, 1, 1, 7, 21, 42, 77, 126, 168, 211, 252, 252, 245, 231]

cp's OEIS Frontend

A038717 Triangular array read by rows: T(n,m) = number of ways your team can score m points in n rounds of a soccer competition (loss=0 point, draw=1 point, win=3 points), for n >= 0, 0 <= m <= 3n.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	2
7	1
8	2
9	2
10	0
11	1
12	1
13	3
14	3
15	4
16	6
17	3
18	3
19	3
20	0
21	1
22	1
23	4
24	6
25	8
26	13
27	12
28	10
29	12
30	6
31	4
32	4
33	0
34	1
35	1
36	5
37	10
38	15
39	25
40	31
41	30
42	35
43	30
44	20
45	20
46	10
47	5
48	5
49	0
50	1
51	1
52	6
53	15
54	26
55	45
56	66
57	76
58	90
59	96
60	80
61	75
62	60
63	35
64	30
65	15
66	6
67	6
68	0
69	1
70	1
71	7
72	21
73	42
74	77
75	126
76	168
77	211
78	252
79	252
80	245
81	231

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	2
7	1
8	2
9	2
10	0
11	1
12	1
13	3
14	3
15	4
16	6
17	3
18	3
19	3
20	0
21	1
22	1
23	4
24	6
25	8
26	13
27	12
28	10
29	12
30	6
31	4
32	4
33	0
34	1
35	1
36	5
37	10
38	15
39	25
40	31
41	30
42	35
43	30
44	20
45	20
46	10
47	5
48	5
49	0
50	1
51	1
52	6
53	15
54	26
55	45
56	66
57	76
58	90
59	96
60	80
61	75
62	60
63	35
64	30
65	15
66	6
67	6
68	0
69	1
70	1
71	7
72	21
73	42
74	77
75	126
76	168
77	211
78	252
79	252
80	245
81	231

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	2
7	1
8	2
9	2
10	0
11	1
12	1
13	3
14	3
15	4
16	6
17	3
18	3
19	3
20	0
21	1
22	1
23	4
24	6
25	8
26	13
27	12
28	10
29	12
30	6
31	4
32	4
33	0
34	1
35	1
36	5
37	10
38	15
39	25
40	31
41	30
42	35
43	30
44	20
45	20
46	10
47	5
48	5
49	0
50	1
51	1
52	6
53	15
54	26
55	45
56	66
57	76
58	90
59	96
60	80
61	75
62	60
63	35
64	30
65	15
66	6
67	6
68	0
69	1
70	1
71	7
72	21
73	42
74	77
75	126
76	168
77	211
78	252
79	252
80	245
81	231