A328444 - cp's OEIS frontend

A328444 Lexicographically earliest sequence of distinct positive numbers such that a(1) = 1, a(2) = 2, and for n > 2, a(n) divides Sum_{i = n-k..n-1} a(i) with k > 0 as small as possible.

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	13
8	11
9	6
10	17
11	23
12	8
13	31
14	39
15	7
16	46
17	53
18	33
19	43
20	19
21	62
22	27
23	89
24	29
25	59
26	22
27	81
28	103
29	92
30	15
31	107
32	61
33	12
34	73
35	85
36	79
37	41
38	10
39	51
40	34
41	95
42	129
43	14
44	143
45	157
46	20
47	177
48	197
49	187
50	16
51	203
52	219
53	211
54	86
55	99
56	37
57	68
58	21
59	18
60	24
61	42
62	66
63	36
64	102

[1, 2, 3, 5, 4, 9, 13, 11, 6, 17, 23, 8, 31, 39, 7, 46, 53, 33, 43, 19, 62, 27, 89, 29, 59, 22, 81, 103, 92, 15, 107, 61, 12, 73, 85, 79, 41, 10, 51, 34, 95, 129, 14, 143, 157, 20, 177, 197, 187, 16, 203, 219, 211, 86, 99, 37, 68, 21, 18, 24, 42, 66, 36, 102]

cp's OEIS Frontend

A328444 Lexicographically earliest sequence of distinct positive numbers such that a(1) = 1, a(2) = 2, and for n > 2, a(n) divides Sum_{i = n-k..n-1} a(i) with k > 0 as small as possible.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	13
8	11
9	6
10	17
11	23
12	8
13	31
14	39
15	7
16	46
17	53
18	33
19	43
20	19
21	62
22	27
23	89
24	29
25	59
26	22
27	81
28	103
29	92
30	15
31	107
32	61
33	12
34	73
35	85
36	79
37	41
38	10
39	51
40	34
41	95
42	129
43	14
44	143
45	157
46	20
47	177
48	197
49	187
50	16
51	203
52	219
53	211
54	86
55	99
56	37
57	68
58	21
59	18
60	24
61	42
62	66
63	36
64	102

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	13
8	11
9	6
10	17
11	23
12	8
13	31
14	39
15	7
16	46
17	53
18	33
19	43
20	19
21	62
22	27
23	89
24	29
25	59
26	22
27	81
28	103
29	92
30	15
31	107
32	61
33	12
34	73
35	85
36	79
37	41
38	10
39	51
40	34
41	95
42	129
43	14
44	143
45	157
46	20
47	177
48	197
49	187
50	16
51	203
52	219
53	211
54	86
55	99
56	37
57	68
58	21
59	18
60	24
61	42
62	66
63	36
64	102

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	13
8	11
9	6
10	17
11	23
12	8
13	31
14	39
15	7
16	46
17	53
18	33
19	43
20	19
21	62
22	27
23	89
24	29
25	59
26	22
27	81
28	103
29	92
30	15
31	107
32	61
33	12
34	73
35	85
36	79
37	41
38	10
39	51
40	34
41	95
42	129
43	14
44	143
45	157
46	20
47	177
48	197
49	187
50	16
51	203
52	219
53	211
54	86
55	99
56	37
57	68
58	21
59	18
60	24
61	42
62	66
63	36
64	102