A348916 - cp's OEIS frontend

A348916 a(n) is the "real" part of f(n) = Sum_{k >= 0} g(d_k) * (4 + w)^k where g(0) = 0 and g(1 + u + 2v) = (2 + w)^u (1 + w)^v for any u = 0..1 and v = 0..5, Sum_{k >= 0} d_k * 13^k is the base-13 representation of n and w = -1/2 + sqrt(-3)/2 is a primitive cube root of unity; sequence A348917 gives "w" parts.

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

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

cp's OEIS Frontend

Table of values

List of values

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

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

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