A101933 - cp's OEIS frontend

A101933 Concatenate the first n positive integers written in binary (with each integer written so the most significant 1 is on the left and the concatenated string is from left to right, A030302). a(n) is the number of times n written in binary appears disjointedly in the concatenated string.

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

[1, 1, 2, 1, 2, 3, 3, 1, 2, 1, 4, 3, 4, 5, 4, 1, 2, 2, 3, 2, 2, 1, 6, 3, 4, 4, 6, 6, 5, 7, 5, 1, 2, 2, 3, 1, 4, 3, 4, 2, 4, 2, 5, 2, 3, 4, 8, 3, 4, 5, 5, 4, 6, 4, 8, 6, 6, 6, 7, 9, 6, 9, 6, 1, 2, 2, 3, 2, 3, 3, 4, 2, 2, 3, 5, 2, 6, 4, 5, 2, 4, 3, 6, 3, 3, 3, 7, 2, 5, 3, 5, 3, 7, 5, 10, 3, 4, 5, 5, 4, 7, 5, 7, 4, 6]

cp's OEIS Frontend

A101933 Concatenate the first n positive integers written in binary (with each integer written so the most significant 1 is on the left and the concatenated string is from left to right, A030302). a(n) is the number of times n written in binary appears disjointedly in the concatenated string.

Table of values

List of values

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

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

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