A348653 - cp's OEIS frontend

A348653 For any nonnegative number n with base-13 expansion Sum_{k >= 0} d_k13^k, a(n) is the imaginary part of Sum_{k >= 0} g(d_k)(3+2i)^k where g(0) = 0, and g(1+u+3v) = (1+ui)i^v for any u = 0..2 and v = 0..3 (where i denotes the imaginary unit); see A348652 for the real part.

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

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

cp's OEIS Frontend

A348653 For any nonnegative number n with base-13 expansion Sum_{k >= 0} d_k13^k, a(n) is the imaginary part of Sum_{k >= 0} g(d_k)(3+2i)^k where g(0) = 0, and g(1+u+3v) = (1+ui)i^v for any u = 0..2 and v = 0..3 (where i denotes the imaginary unit); see A348652 for the real part.

Table of values

List of values

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

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

cp's OEIS Frontend

A348653 For any nonnegative number n with base-13 expansion Sum_{k >= 0} d_k*13^k, a(n) is the imaginary part of Sum_{k >= 0} g(d_k)*(3+2*i)^k where g(0) = 0, and g(1+u+3*v) = (1+u*i)*i^v for any u = 0..2 and v = 0..3 (where i denotes the imaginary unit); see A348652 for the real part.

Table of values

List of values

A348653 For any nonnegative number n with base-13 expansion Sum_{k >= 0} d_k13^k, a(n) is the imaginary part of Sum_{k >= 0} g(d_k)(3+2i)^k where g(0) = 0, and g(1+u+3v) = (1+ui)i^v for any u = 0..2 and v = 0..3 (where i denotes the imaginary unit); see A348652 for the real part.

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