A181118 - cp's OEIS frontend

A181118 Sequencing of all rational numbers p/q > 0 as ordered pairs (p,q). The rational (p,q) occurs as the n-th ordered pair where n=(p+q-1)*(p+q-2)/2+q.

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	2
7	3
8	1
9	2
10	2
11	1
12	3
13	4
14	1
15	3
16	2
17	2
18	3
19	1
20	4
21	5
22	1
23	4
24	2
25	3
26	3
27	2
28	4
29	1
30	5
31	6
32	1
33	5
34	2
35	4
36	3
37	3
38	4
39	2
40	5
41	1
42	6
43	7
44	1
45	6
46	2
47	5
48	3
49	4
50	4
51	3
52	5
53	2
54	6
55	1
56	7
57	8
58	1
59	7
60	2
61	6
62	3
63	5
64	4
65	4
66	5
67	3
68	6
69	2
70	7
71	1
72	8
73	9
74	1
75	8
76	2
77	7
78	3
79	6
80	4
81	5
82	5
83	4
84	6
85	3
86	7
87	2
88	8
89	1
90	9
91	10
92	1
93	9
94	2
95	8
96	3
97	7
98	4
99	6
100	5
101	5
102	6
103	4
104	7
105	3

[1, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 3, 4, 1, 3, 2, 2, 3, 1, 4, 5, 1, 4, 2, 3, 3, 2, 4, 1, 5, 6, 1, 5, 2, 4, 3, 3, 4, 2, 5, 1, 6, 7, 1, 6, 2, 5, 3, 4, 4, 3, 5, 2, 6, 1, 7, 8, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 6, 2, 7, 1, 8, 9, 1, 8, 2, 7, 3, 6, 4, 5, 5, 4, 6, 3, 7, 2, 8, 1, 9, 10, 1, 9, 2, 8, 3, 7, 4, 6, 5, 5, 6, 4, 7, 3]

cp's OEIS Frontend

A181118 Sequencing of all rational numbers p/q > 0 as ordered pairs (p,q). The rational (p,q) occurs as the n-th ordered pair where n=(p+q-1)*(p+q-2)/2+q.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	2
7	3
8	1
9	2
10	2
11	1
12	3
13	4
14	1
15	3
16	2
17	2
18	3
19	1
20	4
21	5
22	1
23	4
24	2
25	3
26	3
27	2
28	4
29	1
30	5
31	6
32	1
33	5
34	2
35	4
36	3
37	3
38	4
39	2
40	5
41	1
42	6
43	7
44	1
45	6
46	2
47	5
48	3
49	4
50	4
51	3
52	5
53	2
54	6
55	1
56	7
57	8
58	1
59	7
60	2
61	6
62	3
63	5
64	4
65	4
66	5
67	3
68	6
69	2
70	7
71	1
72	8
73	9
74	1
75	8
76	2
77	7
78	3
79	6
80	4
81	5
82	5
83	4
84	6
85	3
86	7
87	2
88	8
89	1
90	9
91	10
92	1
93	9
94	2
95	8
96	3
97	7
98	4
99	6
100	5
101	5
102	6
103	4
104	7
105	3

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	2
7	3
8	1
9	2
10	2
11	1
12	3
13	4
14	1
15	3
16	2
17	2
18	3
19	1
20	4
21	5
22	1
23	4
24	2
25	3
26	3
27	2
28	4
29	1
30	5
31	6
32	1
33	5
34	2
35	4
36	3
37	3
38	4
39	2
40	5
41	1
42	6
43	7
44	1
45	6
46	2
47	5
48	3
49	4
50	4
51	3
52	5
53	2
54	6
55	1
56	7
57	8
58	1
59	7
60	2
61	6
62	3
63	5
64	4
65	4
66	5
67	3
68	6
69	2
70	7
71	1
72	8
73	9
74	1
75	8
76	2
77	7
78	3
79	6
80	4
81	5
82	5
83	4
84	6
85	3
86	7
87	2
88	8
89	1
90	9
91	10
92	1
93	9
94	2
95	8
96	3
97	7
98	4
99	6
100	5
101	5
102	6
103	4
104	7
105	3

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	2
7	3
8	1
9	2
10	2
11	1
12	3
13	4
14	1
15	3
16	2
17	2
18	3
19	1
20	4
21	5
22	1
23	4
24	2
25	3
26	3
27	2
28	4
29	1
30	5
31	6
32	1
33	5
34	2
35	4
36	3
37	3
38	4
39	2
40	5
41	1
42	6
43	7
44	1
45	6
46	2
47	5
48	3
49	4
50	4
51	3
52	5
53	2
54	6
55	1
56	7
57	8
58	1
59	7
60	2
61	6
62	3
63	5
64	4
65	4
66	5
67	3
68	6
69	2
70	7
71	1
72	8
73	9
74	1
75	8
76	2
77	7
78	3
79	6
80	4
81	5
82	5
83	4
84	6
85	3
86	7
87	2
88	8
89	1
90	9
91	10
92	1
93	9
94	2
95	8
96	3
97	7
98	4
99	6
100	5
101	5
102	6
103	4
104	7
105	3