A348177 - cp's OEIS frontend

A348177 a(n) is the number of pair of positive integers (x, y) with 1 <= x <= y such that sum s = x + y and product p = x * y satisfy s + p = 2^n, with n > 0.

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	1
8	0
9	3
10	2
11	1
12	1
13	1
14	3
15	5
16	0
17	1
18	7
19	1
20	1
21	5
22	3
23	1
24	3
25	7
26	7
27	9
28	1
29	3
30	23
31	1
32	1
33	11
34	7
35	15
36	7
37	3
38	7
39	5
40	1
41	3
42	31
43	1
44	3
45	31
46	15
47	3
48	3
49	3
50	31
51	23
52	3
53	3
54	31
55	23
56	3
57	11
58	3
59	7
60	7
61	1
62	15
63	31
64	1
65	31
66	31
67	3
68	5
69	11
70	47
71	3
72	15
73	3
74	15
75	47
76	7
77	31
78	383
79	1
80	3

[0, 0, 1, 0, 1, 1, 1, 0, 3, 2, 1, 1, 1, 3, 5, 0, 1, 7, 1, 1, 5, 3, 1, 3, 7, 7, 9, 1, 3, 23, 1, 1, 11, 7, 15, 7, 3, 7, 5, 1, 3, 31, 1, 3, 31, 15, 3, 3, 3, 31, 23, 3, 3, 31, 23, 3, 11, 3, 7, 7, 1, 15, 31, 1, 31, 31, 3, 5, 11, 47, 3, 15, 3, 15, 47, 7, 31, 383, 1, 3]

cp's OEIS Frontend

A348177 a(n) is the number of pair of positive integers (x, y) with 1 <= x <= y such that sum s = x + y and product p = x * y satisfy s + p = 2^n, with n > 0.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	1
8	0
9	3
10	2
11	1
12	1
13	1
14	3
15	5
16	0
17	1
18	7
19	1
20	1
21	5
22	3
23	1
24	3
25	7
26	7
27	9
28	1
29	3
30	23
31	1
32	1
33	11
34	7
35	15
36	7
37	3
38	7
39	5
40	1
41	3
42	31
43	1
44	3
45	31
46	15
47	3
48	3
49	3
50	31
51	23
52	3
53	3
54	31
55	23
56	3
57	11
58	3
59	7
60	7
61	1
62	15
63	31
64	1
65	31
66	31
67	3
68	5
69	11
70	47
71	3
72	15
73	3
74	15
75	47
76	7
77	31
78	383
79	1
80	3

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	1
8	0
9	3
10	2
11	1
12	1
13	1
14	3
15	5
16	0
17	1
18	7
19	1
20	1
21	5
22	3
23	1
24	3
25	7
26	7
27	9
28	1
29	3
30	23
31	1
32	1
33	11
34	7
35	15
36	7
37	3
38	7
39	5
40	1
41	3
42	31
43	1
44	3
45	31
46	15
47	3
48	3
49	3
50	31
51	23
52	3
53	3
54	31
55	23
56	3
57	11
58	3
59	7
60	7
61	1
62	15
63	31
64	1
65	31
66	31
67	3
68	5
69	11
70	47
71	3
72	15
73	3
74	15
75	47
76	7
77	31
78	383
79	1
80	3

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	1
8	0
9	3
10	2
11	1
12	1
13	1
14	3
15	5
16	0
17	1
18	7
19	1
20	1
21	5
22	3
23	1
24	3
25	7
26	7
27	9
28	1
29	3
30	23
31	1
32	1
33	11
34	7
35	15
36	7
37	3
38	7
39	5
40	1
41	3
42	31
43	1
44	3
45	31
46	15
47	3
48	3
49	3
50	31
51	23
52	3
53	3
54	31
55	23
56	3
57	11
58	3
59	7
60	7
61	1
62	15
63	31
64	1
65	31
66	31
67	3
68	5
69	11
70	47
71	3
72	15
73	3
74	15
75	47
76	7
77	31
78	383
79	1
80	3