A091627 - cp's OEIS frontend

A091627 Number of ordered integer pairs (b,c) with 1 <= b,c <= n such that both roots of x^2+bx+c=0 are integers.

n	a(n)
0	0
1	0
2	1
3	2
4	4
5	5
6	7
7	8
8	10
9	12
10	14
11	15
12	18
13	19
14	21
15	23
16	26
17	27
18	30
19	31
20	34
21	36
22	38
23	39
24	43
25	45
26	47
27	49
28	52
29	53
30	57
31	58
32	61
33	63
34	65
35	67
36	72
37	73
38	75
39	77
40	81
41	82
42	86
43	87
44	90
45	93
46	95
47	96
48	101
49	103
50	106
51	108
52	111
53	112
54	116
55	118
56	122
57	124
58	126
59	127
60	133
61	134
62	136
63	139
64	143

[0, 0, 1, 2, 4, 5, 7, 8, 10, 12, 14, 15, 18, 19, 21, 23, 26, 27, 30, 31, 34, 36, 38, 39, 43, 45, 47, 49, 52, 53, 57, 58, 61, 63, 65, 67, 72, 73, 75, 77, 81, 82, 86, 87, 90, 93, 95, 96, 101, 103, 106, 108, 111, 112, 116, 118, 122, 124, 126, 127, 133, 134, 136, 139, 143]

cp's OEIS Frontend

A091627 Number of ordered integer pairs (b,c) with 1 <= b,c <= n such that both roots of x^2+bx+c=0 are integers.

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	2
4	4
5	5
6	7
7	8
8	10
9	12
10	14
11	15
12	18
13	19
14	21
15	23
16	26
17	27
18	30
19	31
20	34
21	36
22	38
23	39
24	43
25	45
26	47
27	49
28	52
29	53
30	57
31	58
32	61
33	63
34	65
35	67
36	72
37	73
38	75
39	77
40	81
41	82
42	86
43	87
44	90
45	93
46	95
47	96
48	101
49	103
50	106
51	108
52	111
53	112
54	116
55	118
56	122
57	124
58	126
59	127
60	133
61	134
62	136
63	139
64	143

n	a(n)
0	0
1	0
2	1
3	2
4	4
5	5
6	7
7	8
8	10
9	12
10	14
11	15
12	18
13	19
14	21
15	23
16	26
17	27
18	30
19	31
20	34
21	36
22	38
23	39
24	43
25	45
26	47
27	49
28	52
29	53
30	57
31	58
32	61
33	63
34	65
35	67
36	72
37	73
38	75
39	77
40	81
41	82
42	86
43	87
44	90
45	93
46	95
47	96
48	101
49	103
50	106
51	108
52	111
53	112
54	116
55	118
56	122
57	124
58	126
59	127
60	133
61	134
62	136
63	139
64	143

n	a(n)
0	0
1	0
2	1
3	2
4	4
5	5
6	7
7	8
8	10
9	12
10	14
11	15
12	18
13	19
14	21
15	23
16	26
17	27
18	30
19	31
20	34
21	36
22	38
23	39
24	43
25	45
26	47
27	49
28	52
29	53
30	57
31	58
32	61
33	63
34	65
35	67
36	72
37	73
38	75
39	77
40	81
41	82
42	86
43	87
44	90
45	93
46	95
47	96
48	101
49	103
50	106
51	108
52	111
53	112
54	116
55	118
56	122
57	124
58	126
59	127
60	133
61	134
62	136
63	139
64	143