A318705 - cp's OEIS frontend

A318705 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 real part of g(n).

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

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

cp's OEIS Frontend

A318705 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 real part of g(n).

Table of values

List of values

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

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

cp's OEIS Frontend

A318705 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 real part of g(n).

Table of values

List of values

A318705 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 real part of g(n).

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