A265436 - cp's OEIS frontend

A265436 a(n) is the least m (1 <= m <= n) such that the set of pairs (x, y) of distinct terms from [m, n] can be ordered in such a way that the corresponding sums (x+y) and products (x*y) are monotonic.

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

[1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 8, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 24, 25, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 35, 36, 37, 38, 39, 40, 41, 42, 42, 43, 44, 45, 46, 47, 48, 48, 49, 50, 51, 52, 53, 54, 55]

cp's OEIS Frontend

A265436 a(n) is the least m (1 <= m <= n) such that the set of pairs (x, y) of distinct terms from [m, n] can be ordered in such a way that the corresponding sums (x+y) and products (x*y) are monotonic.

Table of values

List of values

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

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

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