A136436 - cp's OEIS frontend

A136436 Concatenation of subsequences: for each i the sequence of integers such that (1) they can be grouped into terms having the sums 1,2,3,...,i; (2) they can be grouped into terms having the sums i,...,3,2,1; (3) they are as large as possible.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	2
11	1
12	2
13	1
14	2
15	1
16	1
17	2
18	2
19	1
20	3
21	1
22	2
23	2
24	1
25	1
26	2
27	3
28	4
29	1
30	4
31	3
32	2
33	1
34	1
35	2
36	3
37	1
38	3
39	3
40	2
41	3
42	3
43	1
44	3
45	2
46	1
47	1
48	2
49	3
50	2
51	2
52	5
53	6
54	5
55	2
56	2
57	3
58	2
59	1
60	1
61	2
62	3
63	3
64	1
65	5
66	2
67	4
68	3
69	4
70	2
71	5
72	1
73	3
74	3
75	2
76	1
77	1
78	2
79	3
80	4
81	5
82	4
83	2
84	6
85	1
86	6
87	2
88	4
89	5
90	4
91	3
92	2
93	1
94	1
95	2
96	3
97	4
98	1
99	4
100	6
101	7
102	2
103	6
104	2
105	7

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

cp's OEIS Frontend

A136436 Concatenation of subsequences: for each i the sequence of integers such that (1) they can be grouped into terms having the sums 1,2,3,...,i; (2) they can be grouped into terms having the sums i,...,3,2,1; (3) they are as large as possible.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	2
11	1
12	2
13	1
14	2
15	1
16	1
17	2
18	2
19	1
20	3
21	1
22	2
23	2
24	1
25	1
26	2
27	3
28	4
29	1
30	4
31	3
32	2
33	1
34	1
35	2
36	3
37	1
38	3
39	3
40	2
41	3
42	3
43	1
44	3
45	2
46	1
47	1
48	2
49	3
50	2
51	2
52	5
53	6
54	5
55	2
56	2
57	3
58	2
59	1
60	1
61	2
62	3
63	3
64	1
65	5
66	2
67	4
68	3
69	4
70	2
71	5
72	1
73	3
74	3
75	2
76	1
77	1
78	2
79	3
80	4
81	5
82	4
83	2
84	6
85	1
86	6
87	2
88	4
89	5
90	4
91	3
92	2
93	1
94	1
95	2
96	3
97	4
98	1
99	4
100	6
101	7
102	2
103	6
104	2
105	7

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	2
11	1
12	2
13	1
14	2
15	1
16	1
17	2
18	2
19	1
20	3
21	1
22	2
23	2
24	1
25	1
26	2
27	3
28	4
29	1
30	4
31	3
32	2
33	1
34	1
35	2
36	3
37	1
38	3
39	3
40	2
41	3
42	3
43	1
44	3
45	2
46	1
47	1
48	2
49	3
50	2
51	2
52	5
53	6
54	5
55	2
56	2
57	3
58	2
59	1
60	1
61	2
62	3
63	3
64	1
65	5
66	2
67	4
68	3
69	4
70	2
71	5
72	1
73	3
74	3
75	2
76	1
77	1
78	2
79	3
80	4
81	5
82	4
83	2
84	6
85	1
86	6
87	2
88	4
89	5
90	4
91	3
92	2
93	1
94	1
95	2
96	3
97	4
98	1
99	4
100	6
101	7
102	2
103	6
104	2
105	7

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	2
11	1
12	2
13	1
14	2
15	1
16	1
17	2
18	2
19	1
20	3
21	1
22	2
23	2
24	1
25	1
26	2
27	3
28	4
29	1
30	4
31	3
32	2
33	1
34	1
35	2
36	3
37	1
38	3
39	3
40	2
41	3
42	3
43	1
44	3
45	2
46	1
47	1
48	2
49	3
50	2
51	2
52	5
53	6
54	5
55	2
56	2
57	3
58	2
59	1
60	1
61	2
62	3
63	3
64	1
65	5
66	2
67	4
68	3
69	4
70	2
71	5
72	1
73	3
74	3
75	2
76	1
77	1
78	2
79	3
80	4
81	5
82	4
83	2
84	6
85	1
86	6
87	2
88	4
89	5
90	4
91	3
92	2
93	1
94	1
95	2
96	3
97	4
98	1
99	4
100	6
101	7
102	2
103	6
104	2
105	7