A357714 - cp's OEIS frontend

A357714 a(n) is the number of equations in the set E_{n,b} := {x+2^by=n^b, 2^bx+3^by=n^b, ..., k^bx+(k+1)^by=n^b, ..., n^bx+(n+1)^b*y=n^b} which admit at least one nonnegative integer solution when b is sufficiently large.

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

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

cp's OEIS Frontend

A357714 a(n) is the number of equations in the set E_{n,b} := {x+2^by=n^b, 2^bx+3^by=n^b, ..., k^bx+(k+1)^by=n^b, ..., n^bx+(n+1)^b*y=n^b} which admit at least one nonnegative integer solution when b is sufficiently large.

Table of values

List of values

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

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

cp's OEIS Frontend

A357714 a(n) is the number of equations in the set E_{n,b} := {x+2^b*y=n^b, 2^b*x+3^b*y=n^b, ..., k^b*x+(k+1)^b*y=n^b, ..., n^b*x+(n+1)^b*y=n^b} which admit at least one nonnegative integer solution when b is sufficiently large.

Table of values

List of values

A357714 a(n) is the number of equations in the set E_{n,b} := {x+2^by=n^b, 2^bx+3^by=n^b, ..., k^bx+(k+1)^by=n^b, ..., n^bx+(n+1)^b*y=n^b} which admit at least one nonnegative integer solution when b is sufficiently large.

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