A328443 - cp's OEIS frontend

A328443 Lexicographically earliest sequence of distinct positive numbers such that a(1) = 1, a(2) = 2, and for n > 2, a(n) divides Sum_{i = 1..k} a(i) with k > 0 as small as possible.

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	12
7	8
8	16
9	7
10	14
11	28
12	9
13	18
14	36
15	13
16	26
17	52
18	59
19	73
20	101
21	5
22	10
23	11
24	22
25	55
26	110
27	32
28	64
29	128
30	41
31	82
32	164
33	177
34	29
35	203
36	15
37	17
38	51
39	85
40	255
41	157
42	314
43	43
44	129
45	387
46	61
47	122
48	244
49	488
50	493
51	503
52	257
53	514
54	67
55	134
56	268
57	536
58	197
59	591
60	701
61	733

[1, 2, 3, 6, 4, 12, 8, 16, 7, 14, 28, 9, 18, 36, 13, 26, 52, 59, 73, 101, 5, 10, 11, 22, 55, 110, 32, 64, 128, 41, 82, 164, 177, 29, 203, 15, 17, 51, 85, 255, 157, 314, 43, 129, 387, 61, 122, 244, 488, 493, 503, 257, 514, 67, 134, 268, 536, 197, 591, 701, 733]

cp's OEIS Frontend

A328443 Lexicographically earliest sequence of distinct positive numbers such that a(1) = 1, a(2) = 2, and for n > 2, a(n) divides Sum_{i = 1..k} 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	6
5	4
6	12
7	8
8	16
9	7
10	14
11	28
12	9
13	18
14	36
15	13
16	26
17	52
18	59
19	73
20	101
21	5
22	10
23	11
24	22
25	55
26	110
27	32
28	64
29	128
30	41
31	82
32	164
33	177
34	29
35	203
36	15
37	17
38	51
39	85
40	255
41	157
42	314
43	43
44	129
45	387
46	61
47	122
48	244
49	488
50	493
51	503
52	257
53	514
54	67
55	134
56	268
57	536
58	197
59	591
60	701
61	733

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	12
7	8
8	16
9	7
10	14
11	28
12	9
13	18
14	36
15	13
16	26
17	52
18	59
19	73
20	101
21	5
22	10
23	11
24	22
25	55
26	110
27	32
28	64
29	128
30	41
31	82
32	164
33	177
34	29
35	203
36	15
37	17
38	51
39	85
40	255
41	157
42	314
43	43
44	129
45	387
46	61
47	122
48	244
49	488
50	493
51	503
52	257
53	514
54	67
55	134
56	268
57	536
58	197
59	591
60	701
61	733

n	a(n)
1	1
2	2
3	3
4	6
5	4
6	12
7	8
8	16
9	7
10	14
11	28
12	9
13	18
14	36
15	13
16	26
17	52
18	59
19	73
20	101
21	5
22	10
23	11
24	22
25	55
26	110
27	32
28	64
29	128
30	41
31	82
32	164
33	177
34	29
35	203
36	15
37	17
38	51
39	85
40	255
41	157
42	314
43	43
44	129
45	387
46	61
47	122
48	244
49	488
50	493
51	503
52	257
53	514
54	67
55	134
56	268
57	536
58	197
59	591
60	701
61	733