A316707 - cp's OEIS frontend

A316707 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 square of the modulus of f(n).

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

[0, 1, 1, 1, 1, 5, 10, 8, 2, 4, 5, 4, 10, 8, 2, 5, 2, 4, 10, 8, 5, 8, 2, 4, 10, 25, 32, 34, 20, 18, 50, 61, 61, 41, 41, 40, 45, 53, 37, 29, 10, 13, 17, 9, 5, 20, 29, 25, 13, 17, 25, 18, 32, 34, 20, 20, 17, 29, 25, 13, 50, 41, 61, 61, 41, 40, 29, 45, 53, 37, 10]

cp's OEIS Frontend

A316707 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 square of the modulus of f(n).

Table of values

List of values

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

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

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