A307707 - cp's OEIS frontend

A307707 Lexicographically earliest sequence of nonnegative integers in which, for all k >= 0, there are exactly k pairs of consecutive terms whose sum is k.

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	2
8	2
9	2
10	2
11	2
12	3
13	2
14	3
15	2
16	3
17	3
18	3
19	3
20	3
21	3
22	3
23	4
24	3
25	4
26	3
27	4
28	3
29	4
30	4
31	4
32	4
33	4
34	4
35	4
36	4
37	4
38	5
39	4
40	5
41	4
42	5
43	4
44	5
45	4
46	5
47	5
48	5
49	5
50	5
51	5
52	5
53	5
54	5
55	5
56	5
57	6
58	5
59	6
60	5
61	6
62	5
63	6
64	5
65	6
66	5
67	6
68	6
69	6
70	6
71	6
72	6
73	6
74	6
75	6
76	6
77	6
78	6
79	6
80	7
81	6
82	7
83	6
84	7
85	6
86	7
87	6
88	7
89	6
90	7
91	6
92	7
93	7
94	7
95	7
96	7
97	7
98	7
99	7
100	7
101	7
102	7
103	7
104	7
105	7
106	7
107	8

[0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8]

cp's OEIS Frontend

A307707 Lexicographically earliest sequence of nonnegative integers in which, for all k >= 0, there are exactly k pairs of consecutive terms whose sum is k.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	2
8	2
9	2
10	2
11	2
12	3
13	2
14	3
15	2
16	3
17	3
18	3
19	3
20	3
21	3
22	3
23	4
24	3
25	4
26	3
27	4
28	3
29	4
30	4
31	4
32	4
33	4
34	4
35	4
36	4
37	4
38	5
39	4
40	5
41	4
42	5
43	4
44	5
45	4
46	5
47	5
48	5
49	5
50	5
51	5
52	5
53	5
54	5
55	5
56	5
57	6
58	5
59	6
60	5
61	6
62	5
63	6
64	5
65	6
66	5
67	6
68	6
69	6
70	6
71	6
72	6
73	6
74	6
75	6
76	6
77	6
78	6
79	6
80	7
81	6
82	7
83	6
84	7
85	6
86	7
87	6
88	7
89	6
90	7
91	6
92	7
93	7
94	7
95	7
96	7
97	7
98	7
99	7
100	7
101	7
102	7
103	7
104	7
105	7
106	7
107	8

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	2
8	2
9	2
10	2
11	2
12	3
13	2
14	3
15	2
16	3
17	3
18	3
19	3
20	3
21	3
22	3
23	4
24	3
25	4
26	3
27	4
28	3
29	4
30	4
31	4
32	4
33	4
34	4
35	4
36	4
37	4
38	5
39	4
40	5
41	4
42	5
43	4
44	5
45	4
46	5
47	5
48	5
49	5
50	5
51	5
52	5
53	5
54	5
55	5
56	5
57	6
58	5
59	6
60	5
61	6
62	5
63	6
64	5
65	6
66	5
67	6
68	6
69	6
70	6
71	6
72	6
73	6
74	6
75	6
76	6
77	6
78	6
79	6
80	7
81	6
82	7
83	6
84	7
85	6
86	7
87	6
88	7
89	6
90	7
91	6
92	7
93	7
94	7
95	7
96	7
97	7
98	7
99	7
100	7
101	7
102	7
103	7
104	7
105	7
106	7
107	8

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	1
7	2
8	2
9	2
10	2
11	2
12	3
13	2
14	3
15	2
16	3
17	3
18	3
19	3
20	3
21	3
22	3
23	4
24	3
25	4
26	3
27	4
28	3
29	4
30	4
31	4
32	4
33	4
34	4
35	4
36	4
37	4
38	5
39	4
40	5
41	4
42	5
43	4
44	5
45	4
46	5
47	5
48	5
49	5
50	5
51	5
52	5
53	5
54	5
55	5
56	5
57	6
58	5
59	6
60	5
61	6
62	5
63	6
64	5
65	6
66	5
67	6
68	6
69	6
70	6
71	6
72	6
73	6
74	6
75	6
76	6
77	6
78	6
79	6
80	7
81	6
82	7
83	6
84	7
85	6
86	7
87	6
88	7
89	6
90	7
91	6
92	7
93	7
94	7
95	7
96	7
97	7
98	7
99	7
100	7
101	7
102	7
103	7
104	7
105	7
106	7
107	8