A076537 - cp's OEIS frontend

A076537 Map positive rational numbers to positive integers by diagonal method using c(p,q) = (p + q - 2) * (p + q - 1) / 2 + p where p and q are positive integers. a(n) is an increasing sequence including all c(p,q) where gcd(p,q) > 1.

n	a(n)
1	5
2	12
3	13
4	14
5	23
6	25
7	27
8	31
9	34
10	38
11	40
12	41
13	42
14	44
15	57
16	58
17	59
18	61
19	63
20	64
21	65
22	80
23	82
24	84
25	85
26	86
27	88
28	90
29	94
30	96
31	97
32	100
33	101
34	103
35	107
36	109
37	111
38	113
39	115
40	117
41	119
42	138
43	139
44	140
45	142
46	144
47	145
48	146
49	148
50	150
51	151
52	152
53	173
54	175
55	176
56	177
57	179
58	181
59	183

[5, 12, 13, 14, 23, 25, 27, 31, 34, 38, 40, 41, 42, 44, 57, 58, 59, 61, 63, 64, 65, 80, 82, 84, 85, 86, 88, 90, 94, 96, 97, 100, 101, 103, 107, 109, 111, 113, 115, 117, 119, 138, 139, 140, 142, 144, 145, 146, 148, 150, 151, 152, 173, 175, 176, 177, 179, 181, 183]

cp's OEIS Frontend

A076537 Map positive rational numbers to positive integers by diagonal method using c(p,q) = (p + q - 2) * (p + q - 1) / 2 + p where p and q are positive integers. a(n) is an increasing sequence including all c(p,q) where gcd(p,q) > 1.

Table of values

List of values

n	a(n)
1	5
2	12
3	13
4	14
5	23
6	25
7	27
8	31
9	34
10	38
11	40
12	41
13	42
14	44
15	57
16	58
17	59
18	61
19	63
20	64
21	65
22	80
23	82
24	84
25	85
26	86
27	88
28	90
29	94
30	96
31	97
32	100
33	101
34	103
35	107
36	109
37	111
38	113
39	115
40	117
41	119
42	138
43	139
44	140
45	142
46	144
47	145
48	146
49	148
50	150
51	151
52	152
53	173
54	175
55	176
56	177
57	179
58	181
59	183

n	a(n)
1	5
2	12
3	13
4	14
5	23
6	25
7	27
8	31
9	34
10	38
11	40
12	41
13	42
14	44
15	57
16	58
17	59
18	61
19	63
20	64
21	65
22	80
23	82
24	84
25	85
26	86
27	88
28	90
29	94
30	96
31	97
32	100
33	101
34	103
35	107
36	109
37	111
38	113
39	115
40	117
41	119
42	138
43	139
44	140
45	142
46	144
47	145
48	146
49	148
50	150
51	151
52	152
53	173
54	175
55	176
56	177
57	179
58	181
59	183

n	a(n)
1	5
2	12
3	13
4	14
5	23
6	25
7	27
8	31
9	34
10	38
11	40
12	41
13	42
14	44
15	57
16	58
17	59
18	61
19	63
20	64
21	65
22	80
23	82
24	84
25	85
26	86
27	88
28	90
29	94
30	96
31	97
32	100
33	101
34	103
35	107
36	109
37	111
38	113
39	115
40	117
41	119
42	138
43	139
44	140
45	142
46	144
47	145
48	146
49	148
50	150
51	151
52	152
53	173
54	175
55	176
56	177
57	179
58	181
59	183