A160138 - cp's OEIS frontend

A160138 a(n) = number of solutions to the system: x + y + z + w = n, -2x - y + z + 2w = 5 with nonnegative x, y, z, w.

n	a(n)
1	0
2	0
3	1
4	2
5	3
6	4
7	6
8	7
9	9
10	11
11	13
12	15
13	18
14	20
15	23
16	26
17	29
18	32
19	36
20	39
21	43
22	47
23	51
24	55
25	60
26	64
27	69
28	74
29	79
30	84
31	90
32	95
33	101
34	107
35	113
36	119
37	126
38	132
39	139
40	146
41	153
42	160
43	168
44	175
45	183
46	191
47	199
48	207
49	216
50	224
51	233
52	242
53	251
54	260
55	270
56	279
57	289
58	299
59	309
60	319
61	330
62	340

[0, 0, 1, 2, 3, 4, 6, 7, 9, 11, 13, 15, 18, 20, 23, 26, 29, 32, 36, 39, 43, 47, 51, 55, 60, 64, 69, 74, 79, 84, 90, 95, 101, 107, 113, 119, 126, 132, 139, 146, 153, 160, 168, 175, 183, 191, 199, 207, 216, 224, 233, 242, 251, 260, 270, 279, 289, 299, 309, 319, 330, 340]

cp's OEIS Frontend

A160138 a(n) = number of solutions to the system: x + y + z + w = n, -2x - y + z + 2w = 5 with nonnegative x, y, z, w.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	2
5	3
6	4
7	6
8	7
9	9
10	11
11	13
12	15
13	18
14	20
15	23
16	26
17	29
18	32
19	36
20	39
21	43
22	47
23	51
24	55
25	60
26	64
27	69
28	74
29	79
30	84
31	90
32	95
33	101
34	107
35	113
36	119
37	126
38	132
39	139
40	146
41	153
42	160
43	168
44	175
45	183
46	191
47	199
48	207
49	216
50	224
51	233
52	242
53	251
54	260
55	270
56	279
57	289
58	299
59	309
60	319
61	330
62	340

n	a(n)
1	0
2	0
3	1
4	2
5	3
6	4
7	6
8	7
9	9
10	11
11	13
12	15
13	18
14	20
15	23
16	26
17	29
18	32
19	36
20	39
21	43
22	47
23	51
24	55
25	60
26	64
27	69
28	74
29	79
30	84
31	90
32	95
33	101
34	107
35	113
36	119
37	126
38	132
39	139
40	146
41	153
42	160
43	168
44	175
45	183
46	191
47	199
48	207
49	216
50	224
51	233
52	242
53	251
54	260
55	270
56	279
57	289
58	299
59	309
60	319
61	330
62	340

n	a(n)
1	0
2	0
3	1
4	2
5	3
6	4
7	6
8	7
9	9
10	11
11	13
12	15
13	18
14	20
15	23
16	26
17	29
18	32
19	36
20	39
21	43
22	47
23	51
24	55
25	60
26	64
27	69
28	74
29	79
30	84
31	90
32	95
33	101
34	107
35	113
36	119
37	126
38	132
39	139
40	146
41	153
42	160
43	168
44	175
45	183
46	191
47	199
48	207
49	216
50	224
51	233
52	242
53	251
54	260
55	270
56	279
57	289
58	299
59	309
60	319
61	330
62	340