A353847 - cp's OEIS frontend

A353847 Composition run-sum transformation in terms of standard composition numbers. The a(k)-th composition in standard order is the sequence of run-sums of the k-th composition in standard order. Takes each index of a row of A066099 to the index of the row consisting of its run-sums.

n	a(n)
0	0
1	1
2	2
3	2
4	4
5	5
6	6
7	4
8	8
9	9
10	8
11	10
12	12
13	13
14	10
15	8
16	16
17	17
18	18
19	18
20	20
21	17
22	22
23	20
24	24
25	25
26	24
27	26
28	20
29	21
30	18
31	16
32	32
33	33
34	34
35	34
36	32
37	37
38	38
39	36
40	40
41	41
42	32
43	34
44	44
45	45
46	42
47	40
48	48
49	49
50	50
51	50
52	52
53	49
54	54
55	52
56	40
57	41
58	40
59	42
60	36
61	37
62	34
63	32
64	64
65	65
66	66
67	66

[0, 1, 2, 2, 4, 5, 6, 4, 8, 9, 8, 10, 12, 13, 10, 8, 16, 17, 18, 18, 20, 17, 22, 20, 24, 25, 24, 26, 20, 21, 18, 16, 32, 33, 34, 34, 32, 37, 38, 36, 40, 41, 32, 34, 44, 45, 42, 40, 48, 49, 50, 50, 52, 49, 54, 52, 40, 41, 40, 42, 36, 37, 34, 32, 64, 65, 66, 66]

cp's OEIS Frontend

A353847 Composition run-sum transformation in terms of standard composition numbers. The a(k)-th composition in standard order is the sequence of run-sums of the k-th composition in standard order. Takes each index of a row of A066099 to the index of the row consisting of its run-sums.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	2
4	4
5	5
6	6
7	4
8	8
9	9
10	8
11	10
12	12
13	13
14	10
15	8
16	16
17	17
18	18
19	18
20	20
21	17
22	22
23	20
24	24
25	25
26	24
27	26
28	20
29	21
30	18
31	16
32	32
33	33
34	34
35	34
36	32
37	37
38	38
39	36
40	40
41	41
42	32
43	34
44	44
45	45
46	42
47	40
48	48
49	49
50	50
51	50
52	52
53	49
54	54
55	52
56	40
57	41
58	40
59	42
60	36
61	37
62	34
63	32
64	64
65	65
66	66
67	66

n	a(n)
0	0
1	1
2	2
3	2
4	4
5	5
6	6
7	4
8	8
9	9
10	8
11	10
12	12
13	13
14	10
15	8
16	16
17	17
18	18
19	18
20	20
21	17
22	22
23	20
24	24
25	25
26	24
27	26
28	20
29	21
30	18
31	16
32	32
33	33
34	34
35	34
36	32
37	37
38	38
39	36
40	40
41	41
42	32
43	34
44	44
45	45
46	42
47	40
48	48
49	49
50	50
51	50
52	52
53	49
54	54
55	52
56	40
57	41
58	40
59	42
60	36
61	37
62	34
63	32
64	64
65	65
66	66
67	66

n	a(n)
0	0
1	1
2	2
3	2
4	4
5	5
6	6
7	4
8	8
9	9
10	8
11	10
12	12
13	13
14	10
15	8
16	16
17	17
18	18
19	18
20	20
21	17
22	22
23	20
24	24
25	25
26	24
27	26
28	20
29	21
30	18
31	16
32	32
33	33
34	34
35	34
36	32
37	37
38	38
39	36
40	40
41	41
42	32
43	34
44	44
45	45
46	42
47	40
48	48
49	49
50	50
51	50
52	52
53	49
54	54
55	52
56	40
57	41
58	40
59	42
60	36
61	37
62	34
63	32
64	64
65	65
66	66
67	66