A218085 - cp's OEIS frontend

A218085 Let S_5(x) denote the difference in counts of multiples of 5 in the interval [0,x), those with even digit sums in base 4 in one set, those with odd digit sums in base 4 in the other. Then a(n) = (-1)^s_4(n) (S_5(n) -10S_5(floor(n/16)) +5*S_5(floor(n/256))), where s_4(n) = A053737(n).

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

[0, -1, 1, -1, -1, 1, -2, 2, 2, -2, 2, -3, -3, 3, -3, 3, 6, -6, 6, -6, -6, 5, -5, 5, 5, -5, 4, -4, -4, 4, -4, 3, -3, 3, -3, 3, 4, -4, 4, -4, -4, 3, -3, 3, 3, -3, 2, -2, 2, -2, 2, -3, -3, 3, -3, 3, 4, -4, 4, -4, -4, 3, -3, 3, 3, -3, 2, -2, -2, 2, -2, 1, 1, -1, 1, -1, 0, 0, 0, 0, 0]

cp's OEIS Frontend

A218085 Let S_5(x) denote the difference in counts of multiples of 5 in the interval [0,x), those with even digit sums in base 4 in one set, those with odd digit sums in base 4 in the other. Then a(n) = (-1)^s_4(n) (S_5(n) -10S_5(floor(n/16)) +5*S_5(floor(n/256))), where s_4(n) = A053737(n).

Table of values

List of values

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

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

cp's OEIS Frontend

A218085 Let S_5(x) denote the difference in counts of multiples of 5 in the interval [0,x), those with even digit sums in base 4 in one set, those with odd digit sums in base 4 in the other. Then a(n) = (-1)^s_4(n) *(S_5(n) -10*S_5(floor(n/16)) +5*S_5(floor(n/256))), where s_4(n) = A053737(n).

Table of values

List of values

A218085 Let S_5(x) denote the difference in counts of multiples of 5 in the interval [0,x), those with even digit sums in base 4 in one set, those with odd digit sums in base 4 in the other. Then a(n) = (-1)^s_4(n) (S_5(n) -10S_5(floor(n/16)) +5*S_5(floor(n/256))), where s_4(n) = A053737(n).

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