A318724 - cp's OEIS frontend

A318724 Let f(0) = 0 and f(t4^k + u) = i^t ((1+i) * 2^k - f(u)) for any t in {1, 2, 3} and k >= 0 and u such that 0 <= u < 4^k (i denoting the imaginary unit); for any n >= 0, let g(n) = (f(A042968(n)) - 1 - i) / 2; a(n) is the square of the modulus of g(n).

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

[1, 2, 1, 2, 5, 4, 5, 8, 5, 4, 5, 2, 8, 13, 10, 5, 10, 13, 18, 25, 20, 17, 16, 9, 13, 18, 13, 10, 17, 20, 25, 32, 25, 20, 17, 10, 10, 13, 8, 9, 16, 17, 20, 25, 18, 13, 10, 5, 32, 41, 34, 25, 34, 41, 50, 61, 52, 45, 40, 29, 29, 40, 45, 20, 17, 26, 37, 50, 53, 58]

cp's OEIS Frontend

A318724 Let f(0) = 0 and f(t4^k + u) = i^t ((1+i) * 2^k - f(u)) for any t in {1, 2, 3} and k >= 0 and u such that 0 <= u < 4^k (i denoting the imaginary unit); for any n >= 0, let g(n) = (f(A042968(n)) - 1 - i) / 2; a(n) is the square of the modulus of g(n).

Table of values

List of values

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

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

cp's OEIS Frontend

A318724 Let f(0) = 0 and f(t*4^k + u) = i^t * ((1+i) * 2^k - f(u)) for any t in {1, 2, 3} and k >= 0 and u such that 0 <= u < 4^k (i denoting the imaginary unit); for any n >= 0, let g(n) = (f(A042968(n)) - 1 - i) / 2; a(n) is the square of the modulus of g(n).

Table of values

List of values

A318724 Let f(0) = 0 and f(t4^k + u) = i^t ((1+i) * 2^k - f(u)) for any t in {1, 2, 3} and k >= 0 and u such that 0 <= u < 4^k (i denoting the imaginary unit); for any n >= 0, let g(n) = (f(A042968(n)) - 1 - i) / 2; a(n) is the square of the modulus of g(n).

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