A316658 - cp's OEIS frontend

A316658 For any n >= 0 with base-5 expansion Sum_{k=0..w} d_k * 5^k, let f(n) = Sum_{k=0..w} [d_k > 0] * (2 + i)^k * i^(d_k - 1) (where [] is an Iverson bracket and i denotes the imaginary unit); a(n) equals the imaginary part of f(n).

n	a(n)
0	0
1	0
2	1
3	0
4	-1
5	1
6	1
7	2
8	1
9	0
10	2
11	2
12	3
13	2
14	1
15	-1
16	-1
17	0
18	-1
19	-2
20	-2
21	-2
22	-1
23	-2
24	-3
25	4
26	4
27	5
28	4
29	3
30	5
31	5
32	6
33	5
34	4
35	6
36	6
37	7
38	6
39	5
40	3
41	3
42	4
43	3
44	2
45	2
46	2
47	3
48	2
49	1
50	3
51	3
52	4
53	3
54	2
55	4
56	4
57	5
58	4
59	3
60	5
61	5
62	6
63	5
64	4
65	2
66	2
67	3
68	2
69	1
70	1
71	1
72	2
73	1
74	0
75	-4
76	-4
77	-3
78	-4
79	-5
80	-3

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

cp's OEIS Frontend

A316658 For any n >= 0 with base-5 expansion Sum_{k=0..w} d_k * 5^k, let f(n) = Sum_{k=0..w} [d_k > 0] * (2 + i)^k * i^(d_k - 1) (where [] is an Iverson bracket and i denotes the imaginary unit); a(n) equals the imaginary part of f(n).

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	0
4	-1
5	1
6	1
7	2
8	1
9	0
10	2
11	2
12	3
13	2
14	1
15	-1
16	-1
17	0
18	-1
19	-2
20	-2
21	-2
22	-1
23	-2
24	-3
25	4
26	4
27	5
28	4
29	3
30	5
31	5
32	6
33	5
34	4
35	6
36	6
37	7
38	6
39	5
40	3
41	3
42	4
43	3
44	2
45	2
46	2
47	3
48	2
49	1
50	3
51	3
52	4
53	3
54	2
55	4
56	4
57	5
58	4
59	3
60	5
61	5
62	6
63	5
64	4
65	2
66	2
67	3
68	2
69	1
70	1
71	1
72	2
73	1
74	0
75	-4
76	-4
77	-3
78	-4
79	-5
80	-3

n	a(n)
0	0
1	0
2	1
3	0
4	-1
5	1
6	1
7	2
8	1
9	0
10	2
11	2
12	3
13	2
14	1
15	-1
16	-1
17	0
18	-1
19	-2
20	-2
21	-2
22	-1
23	-2
24	-3
25	4
26	4
27	5
28	4
29	3
30	5
31	5
32	6
33	5
34	4
35	6
36	6
37	7
38	6
39	5
40	3
41	3
42	4
43	3
44	2
45	2
46	2
47	3
48	2
49	1
50	3
51	3
52	4
53	3
54	2
55	4
56	4
57	5
58	4
59	3
60	5
61	5
62	6
63	5
64	4
65	2
66	2
67	3
68	2
69	1
70	1
71	1
72	2
73	1
74	0
75	-4
76	-4
77	-3
78	-4
79	-5
80	-3

n	a(n)
0	0
1	0
2	1
3	0
4	-1
5	1
6	1
7	2
8	1
9	0
10	2
11	2
12	3
13	2
14	1
15	-1
16	-1
17	0
18	-1
19	-2
20	-2
21	-2
22	-1
23	-2
24	-3
25	4
26	4
27	5
28	4
29	3
30	5
31	5
32	6
33	5
34	4
35	6
36	6
37	7
38	6
39	5
40	3
41	3
42	4
43	3
44	2
45	2
46	2
47	3
48	2
49	1
50	3
51	3
52	4
53	3
54	2
55	4
56	4
57	5
58	4
59	3
60	5
61	5
62	6
63	5
64	4
65	2
66	2
67	3
68	2
69	1
70	1
71	1
72	2
73	1
74	0
75	-4
76	-4
77	-3
78	-4
79	-5
80	-3