A055941 - cp's OEIS frontend

A055941 a(n) = Sum_{j=0..k-1} (i(j) - j) where n = Sum_{j=0..k-1} 2^i(j).

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

[0, 0, 1, 0, 2, 1, 2, 0, 3, 2, 3, 1, 4, 2, 3, 0, 4, 3, 4, 2, 5, 3, 4, 1, 6, 4, 5, 2, 6, 3, 4, 0, 5, 4, 5, 3, 6, 4, 5, 2, 7, 5, 6, 3, 7, 4, 5, 1, 8, 6, 7, 4, 8, 5, 6, 2, 9, 6, 7, 3, 8, 4, 5, 0, 6, 5, 6, 4, 7, 5, 6, 3, 8, 6, 7, 4, 8, 5, 6, 2, 9, 7, 8, 5, 9, 6, 7, 3, 10, 7, 8, 4, 9, 5, 6, 1, 10, 8, 9, 6, 10, 7, 8, 4]

cp's OEIS Frontend

A055941 a(n) = Sum_{j=0..k-1} (i(j) - j) where n = Sum_{j=0..k-1} 2^i(j).

Table of values

List of values

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

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

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