A334492 - cp's OEIS frontend

A334492 a(n) is the "real" 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 A334493 gives "w" parts.

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

[0, 1, 1, 0, -1, -1, 0, 3, 4, 4, 3, 2, 2, 3, 2, 3, 3, 2, 1, 1, 2, -1, 0, 0, -1, -2, -2, -1, -3, -2, -2, -3, -4, -4, -3, -2, -1, -1, -2, -3, -3, -2, 1, 2, 2, 1, 0, 0, 1, 8, 9, 9, 8, 7, 7, 8, 11, 12, 12, 11, 10, 10, 11, 10, 11, 11, 10, 9, 9, 10, 7, 8, 8, 7, 6, 6]

cp's OEIS Frontend

A334492 a(n) is the "real" 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 A334493 gives "w" parts.

Table of values

List of values

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

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

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