A318706 - cp's OEIS frontend

A318706 For any n >= 0 with base-9 representation Sum_{k=0..w} d_k * 9^k, let g(n) = Sum_{k=0..w} s(d_k) * 3^k (where s(0) = 0, s(1+2j) = i^j and s(2+2j) = i^j * (1+i) for any j > 0, and i denotes the imaginary unit); a(n) is the imaginary part of g(n).

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

[0, 0, 1, 1, 1, 0, -1, -1, -1, 0, 0, 1, 1, 1, 0, -1, -1, -1, 3, 3, 4, 4, 4, 3, 2, 2, 2, 3, 3, 4, 4, 4, 3, 2, 2, 2, 3, 3, 4, 4, 4, 3, 2, 2, 2, 0, 0, 1, 1, 1, 0, -1, -1, -1, -3, -3, -2, -2, -2, -3, -4, -4, -4, -3, -3, -2, -2, -2, -3, -4, -4, -4, -3, -3, -2, -2]

cp's OEIS Frontend

A318706 For any n >= 0 with base-9 representation Sum_{k=0..w} d_k * 9^k, let g(n) = Sum_{k=0..w} s(d_k) * 3^k (where s(0) = 0, s(1+2j) = i^j and s(2+2j) = i^j * (1+i) for any j > 0, and i denotes the imaginary unit); a(n) is the imaginary part of g(n).

Table of values

List of values

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

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

cp's OEIS Frontend

A318706 For any n >= 0 with base-9 representation Sum_{k=0..w} d_k * 9^k, let g(n) = Sum_{k=0..w} s(d_k) * 3^k (where s(0) = 0, s(1+2*j) = i^j and s(2+2*j) = i^j * (1+i) for any j > 0, and i denotes the imaginary unit); a(n) is the imaginary part of g(n).

Table of values

List of values

A318706 For any n >= 0 with base-9 representation Sum_{k=0..w} d_k * 9^k, let g(n) = Sum_{k=0..w} s(d_k) * 3^k (where s(0) = 0, s(1+2j) = i^j and s(2+2j) = i^j * (1+i) for any j > 0, and i denotes the imaginary unit); a(n) is the imaginary part of g(n).

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