A356770 - cp's OEIS frontend

A356770 a(n) is the number of equations in the set {x+2y=n, 2x+3y=n, ..., kx+(k+1)y=n, ..., nx+(n+1)y=n} which admit at least one nonnegative integer solution.

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

[1, 2, 3, 4, 4, 5, 5, 6, 6, 7, 6, 8, 7, 8, 8, 9, 8, 10, 8, 10, 10, 10, 9, 12, 10, 11, 11, 12, 10, 13, 11, 13, 12, 12, 12, 15, 12, 13, 13, 15, 12, 15, 13, 15, 15, 14, 13, 17, 14, 16, 15, 16, 14, 17, 15, 17, 16, 16, 15, 20, 15, 16, 17, 18, 17, 19, 16, 18, 17, 19, 16, 21, 17, 18, 19, 19]

cp's OEIS Frontend

A356770 a(n) is the number of equations in the set {x+2y=n, 2x+3y=n, ..., kx+(k+1)y=n, ..., nx+(n+1)y=n} which admit at least one nonnegative integer solution.

Table of values

List of values

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

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

cp's OEIS Frontend

A356770 a(n) is the number of equations in the set {x+2y=n, 2x+3y=n, ..., k*x+(k+1)*y=n, ..., n*x+(n+1)*y=n} which admit at least one nonnegative integer solution.

Table of values

List of values

A356770 a(n) is the number of equations in the set {x+2y=n, 2x+3y=n, ..., kx+(k+1)y=n, ..., nx+(n+1)y=n} which admit at least one nonnegative integer solution.

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