A338764 - cp's OEIS frontend

A338764 Let L_1 = (1, 2, ...); for any n > 0, let M_n = Min_{k > 0} L_n(k) + L_n(k+1) and K_n = Min_{ k | L_n(k) + L_n(k+1) = M_n }, L_{n+1} is obtained by replacing the two terms L_n(K_n) and L_n(K_n+1) by M_n in L_n; a(n) = K_n.

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

[1, 1, 2, 3, 1, 3, 4, 5, 1, 5, 6, 7, 2, 7, 8, 9, 10, 3, 10, 11, 12, 1, 12, 3, 12, 13, 14, 15, 4, 15, 16, 17, 18, 5, 18, 19, 20, 21, 6, 1, 20, 21, 22, 23, 6, 23, 24, 25, 26, 7, 26, 2, 26, 27, 28, 7, 28, 29, 30, 31, 8, 31, 32, 33, 34, 9, 34, 35, 36, 37, 10, 37, 3]

cp's OEIS Frontend

A338764 Let L_1 = (1, 2, ...); for any n > 0, let M_n = Min_{k > 0} L_n(k) + L_n(k+1) and K_n = Min_{ k | L_n(k) + L_n(k+1) = M_n }, L_{n+1} is obtained by replacing the two terms L_n(K_n) and L_n(K_n+1) by M_n in L_n; a(n) = K_n.

Table of values

List of values

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

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

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