A334493 - cp's OEIS frontend

A334493 a(n) is the "w" part of f(n) = Sum_{k>=0, d_k>0} (1+w)^(d_k-1) * (3+w)^k where Sum_{k>=0} d_k * 7^k is the base 7 representation of n and w = -1/2 + sqrt(-3)/2 is a primitive cube root of unity; sequence A334492 gives "real" parts.

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

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

cp's OEIS Frontend

A334493 a(n) is the "w" part of f(n) = Sum_{k>=0, d_k>0} (1+w)^(d_k-1) * (3+w)^k where Sum_{k>=0} d_k * 7^k is the base 7 representation of n and w = -1/2 + sqrt(-3)/2 is a primitive cube root of unity; sequence A334492 gives "real" parts.

Table of values

List of values

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

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

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