A318723 - cp's OEIS frontend

A318723 Let f(0) = 0 and f(t4^k + u) = i^t ((1+i) * 2^k - f(u)) for any t in {1, 2, 3} and k >= 0 and u such that 0 <= u < 4^k (i denoting the imaginary unit); for any n >= 0, let g(n) = (f(A042968(n)) - 1 - i) / 2; a(n) is the imaginary part of g(n).

n	a(n)
0	0
1	-1
2	-1
3	1
4	1
5	0
6	-1
7	-2
8	-2
9	-2
10	-2
11	-1
12	2
13	2
14	1
15	2
16	3
17	3
18	3
19	3
20	2
21	1
22	0
23	0
24	-2
25	-3
26	-3
27	-1
28	-1
29	-2
30	-3
31	-4
32	-4
33	-4
34	-4
35	-3
36	-3
37	-3
38	-2
39	-3
40	-4
41	-4
42	-4
43	-4
44	-3
45	-2
46	-1
47	-1
48	4
49	4
50	3
51	4
52	5
53	5
54	5
55	5
56	4
57	3
58	2
59	2
60	5
61	6
62	6
63	4
64	4
65	5
66	6
67	7
68	7
69	7
70	7
71	6
72	6
73	6
74	5
75	6

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

cp's OEIS Frontend

A318723 Let f(0) = 0 and f(t4^k + u) = i^t ((1+i) * 2^k - f(u)) for any t in {1, 2, 3} and k >= 0 and u such that 0 <= u < 4^k (i denoting the imaginary unit); for any n >= 0, let g(n) = (f(A042968(n)) - 1 - i) / 2; a(n) is the imaginary part of g(n).

Table of values

List of values

n	a(n)
0	0
1	-1
2	-1
3	1
4	1
5	0
6	-1
7	-2
8	-2
9	-2
10	-2
11	-1
12	2
13	2
14	1
15	2
16	3
17	3
18	3
19	3
20	2
21	1
22	0
23	0
24	-2
25	-3
26	-3
27	-1
28	-1
29	-2
30	-3
31	-4
32	-4
33	-4
34	-4
35	-3
36	-3
37	-3
38	-2
39	-3
40	-4
41	-4
42	-4
43	-4
44	-3
45	-2
46	-1
47	-1
48	4
49	4
50	3
51	4
52	5
53	5
54	5
55	5
56	4
57	3
58	2
59	2
60	5
61	6
62	6
63	4
64	4
65	5
66	6
67	7
68	7
69	7
70	7
71	6
72	6
73	6
74	5
75	6

n	a(n)
0	0
1	-1
2	-1
3	1
4	1
5	0
6	-1
7	-2
8	-2
9	-2
10	-2
11	-1
12	2
13	2
14	1
15	2
16	3
17	3
18	3
19	3
20	2
21	1
22	0
23	0
24	-2
25	-3
26	-3
27	-1
28	-1
29	-2
30	-3
31	-4
32	-4
33	-4
34	-4
35	-3
36	-3
37	-3
38	-2
39	-3
40	-4
41	-4
42	-4
43	-4
44	-3
45	-2
46	-1
47	-1
48	4
49	4
50	3
51	4
52	5
53	5
54	5
55	5
56	4
57	3
58	2
59	2
60	5
61	6
62	6
63	4
64	4
65	5
66	6
67	7
68	7
69	7
70	7
71	6
72	6
73	6
74	5
75	6

cp's OEIS Frontend

A318723 Let f(0) = 0 and f(t*4^k + u) = i^t * ((1+i) * 2^k - f(u)) for any t in {1, 2, 3} and k >= 0 and u such that 0 <= u < 4^k (i denoting the imaginary unit); for any n >= 0, let g(n) = (f(A042968(n)) - 1 - i) / 2; a(n) is the imaginary part of g(n).

Table of values

List of values

A318723 Let f(0) = 0 and f(t4^k + u) = i^t ((1+i) * 2^k - f(u)) for any t in {1, 2, 3} and k >= 0 and u such that 0 <= u < 4^k (i denoting the imaginary unit); for any n >= 0, let g(n) = (f(A042968(n)) - 1 - i) / 2; a(n) is the imaginary part of g(n).

n	a(n)
0	0
1	-1
2	-1
3	1
4	1
5	0
6	-1
7	-2
8	-2
9	-2
10	-2
11	-1
12	2
13	2
14	1
15	2
16	3
17	3
18	3
19	3
20	2
21	1
22	0
23	0
24	-2
25	-3
26	-3
27	-1
28	-1
29	-2
30	-3
31	-4
32	-4
33	-4
34	-4
35	-3
36	-3
37	-3
38	-2
39	-3
40	-4
41	-4
42	-4
43	-4
44	-3
45	-2
46	-1
47	-1
48	4
49	4
50	3
51	4
52	5
53	5
54	5
55	5
56	4
57	3
58	2
59	2
60	5
61	6
62	6
63	4
64	4
65	5
66	6
67	7
68	7
69	7
70	7
71	6
72	6
73	6
74	5
75	6