A357186 - cp's OEIS frontend

A357186 Take the k-th composition in standard order for each part k of the n-th composition in standard order, then add up everything.

n	a(n)
0	0
1	1
2	2
3	2
4	2
5	3
6	3
7	3
8	3
9	3
10	4
11	4
12	3
13	4
14	4
15	4
16	3
17	4
18	4
19	4
20	4
21	5
22	5
23	5
24	4
25	4
26	5
27	5
28	4
29	5
30	5
31	5
32	3
33	4
34	5
35	5
36	4
37	5
38	5
39	5
40	5
41	5
42	6
43	6
44	5
45	6
46	6
47	6
48	4
49	5
50	5
51	5
52	5
53	6
54	6
55	6
56	5
57	5
58	6
59	6
60	5
61	6
62	6
63	6
64	3
65	4
66	5
67	5
68	5
69	6
70	6
71	6
72	5
73	5
74	6
75	6
76	5
77	6
78	6
79	6
80	5
81	6
82	6
83	6
84	6
85	7
86	7

[0, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 5, 5, 5, 3, 4, 5, 5, 4, 5, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 4, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 6, 6, 6, 3, 4, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 6, 7, 7]

cp's OEIS Frontend

A357186 Take the k-th composition in standard order for each part k of the n-th composition in standard order, then add up everything.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	2
4	2
5	3
6	3
7	3
8	3
9	3
10	4
11	4
12	3
13	4
14	4
15	4
16	3
17	4
18	4
19	4
20	4
21	5
22	5
23	5
24	4
25	4
26	5
27	5
28	4
29	5
30	5
31	5
32	3
33	4
34	5
35	5
36	4
37	5
38	5
39	5
40	5
41	5
42	6
43	6
44	5
45	6
46	6
47	6
48	4
49	5
50	5
51	5
52	5
53	6
54	6
55	6
56	5
57	5
58	6
59	6
60	5
61	6
62	6
63	6
64	3
65	4
66	5
67	5
68	5
69	6
70	6
71	6
72	5
73	5
74	6
75	6
76	5
77	6
78	6
79	6
80	5
81	6
82	6
83	6
84	6
85	7
86	7

n	a(n)
0	0
1	1
2	2
3	2
4	2
5	3
6	3
7	3
8	3
9	3
10	4
11	4
12	3
13	4
14	4
15	4
16	3
17	4
18	4
19	4
20	4
21	5
22	5
23	5
24	4
25	4
26	5
27	5
28	4
29	5
30	5
31	5
32	3
33	4
34	5
35	5
36	4
37	5
38	5
39	5
40	5
41	5
42	6
43	6
44	5
45	6
46	6
47	6
48	4
49	5
50	5
51	5
52	5
53	6
54	6
55	6
56	5
57	5
58	6
59	6
60	5
61	6
62	6
63	6
64	3
65	4
66	5
67	5
68	5
69	6
70	6
71	6
72	5
73	5
74	6
75	6
76	5
77	6
78	6
79	6
80	5
81	6
82	6
83	6
84	6
85	7
86	7

n	a(n)
0	0
1	1
2	2
3	2
4	2
5	3
6	3
7	3
8	3
9	3
10	4
11	4
12	3
13	4
14	4
15	4
16	3
17	4
18	4
19	4
20	4
21	5
22	5
23	5
24	4
25	4
26	5
27	5
28	4
29	5
30	5
31	5
32	3
33	4
34	5
35	5
36	4
37	5
38	5
39	5
40	5
41	5
42	6
43	6
44	5
45	6
46	6
47	6
48	4
49	5
50	5
51	5
52	5
53	6
54	6
55	6
56	5
57	5
58	6
59	6
60	5
61	6
62	6
63	6
64	3
65	4
66	5
67	5
68	5
69	6
70	6
71	6
72	5
73	5
74	6
75	6
76	5
77	6
78	6
79	6
80	5
81	6
82	6
83	6
84	6
85	7
86	7