A297825 - cp's OEIS frontend

A297825 a(n) is the (negative) length of the final string after iteratively removing all runs from the binary string 11011100...n (formed by concatenating the first n binary numbers, see A058935(n)).

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

[1, -1, -1, -1, -4, -2, -2, -2, -2, 2, 4, 4, 2, 3, 3, 3, 3, 4, 5, 7, 2, 4, 6, 6, 7, 6, 5, 5, 5, 5, 5, 5, 5, 6, 7, 6, 4, 6, 7, 9, 7, 1, -3, -2, -1, -1, 0, 0, 1, 2, 2, 0, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, -2, 0, 1, 3, 1, 0, -2, -6, 1, -2, -5, -4, -4, -3, -4, -4, -3, -3, -3, -3, -4, -5, -5, -6]

cp's OEIS Frontend

A297825 a(n) is the (negative) length of the final string after iteratively removing all runs from the binary string 11011100...n (formed by concatenating the first n binary numbers, see A058935(n)).

Table of values

List of values

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

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

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