A309079 - cp's OEIS frontend

A309079 For any n > 0: consider the strictly increasing finite sequences of integers whose concatenation of terms, in binary and without leading zeros, equals that of n; a(n) is the minimal sum of the terms of such a finite sequence.

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

[1, 2, 3, 4, 5, 3, 4, 8, 9, 10, 5, 5, 6, 7, 8, 16, 17, 18, 19, 6, 7, 8, 9, 9, 10, 11, 6, 7, 8, 9, 10, 32, 33, 34, 35, 36, 9, 10, 11, 10, 11, 12, 13, 14, 15, 11, 12, 17, 18, 19, 20, 7, 8, 9, 10, 11, 12, 13, 14, 8, 9, 10, 11, 64, 65, 66, 67, 68, 69, 70, 71, 12]

cp's OEIS Frontend

A309079 For any n > 0: consider the strictly increasing finite sequences of integers whose concatenation of terms, in binary and without leading zeros, equals that of n; a(n) is the minimal sum of the terms of such a finite sequence.

Table of values

List of values

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

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

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