A297158 - cp's OEIS frontend

A297158 Ludic ladder sequence: a(n) = Sum_{k=1..n} (-1)^LudicPi(k), where LudicPi(n) = A192512(n)-1 gives the number of Ludic numbers > 1 and <= n.

n	a(n)
0	0
1	1
2	0
3	1
4	2
5	1
6	0
7	1
8	2
9	3
10	4
11	3
12	2
13	3
14	4
15	5
16	6
17	5
18	4
19	3
20	2
21	1
22	0
23	1
24	2
25	1
26	0
27	-1
28	-2
29	-1
30	0
31	1
32	2
33	3
34	4
35	5
36	6
37	5
38	4
39	3
40	2
41	3
42	4
43	3
44	2
45	1
46	0
47	1
48	2
49	3
50	4
51	5
52	6
53	5
54	4
55	3
56	2
57	1
58	0
59	-1
60	-2
61	-1
62	0
63	1
64	2
65	3
66	4
67	3
68	2
69	1
70	0
71	1
72	2
73	3
74	4
75	5
76	6
77	5
78	4
79	3
80	2
81	1
82	0
83	1
84	2
85	3
86	4
87	5
88	6
89	5
90	4
91	5
92	6
93	7
94	8
95	9
96	10
97	9
98	8
99	7
100	6
101	5
102	4
103	3
104	2
105	1

[0, 1, 0, 1, 2, 1, 0, 1, 2, 3, 4, 3, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1, 0, 1, 2, 1, 0, -1, -2, -1, 0, 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, 3, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1, 0, -1, -2, -1, 0, 1, 2, 3, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 5, 4, 5, 6, 7, 8, 9, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]

cp's OEIS Frontend

A297158 Ludic ladder sequence: a(n) = Sum_{k=1..n} (-1)^LudicPi(k), where LudicPi(n) = A192512(n)-1 gives the number of Ludic numbers > 1 and <= n.

Table of values

List of values

n	a(n)
0	0
1	1
2	0
3	1
4	2
5	1
6	0
7	1
8	2
9	3
10	4
11	3
12	2
13	3
14	4
15	5
16	6
17	5
18	4
19	3
20	2
21	1
22	0
23	1
24	2
25	1
26	0
27	-1
28	-2
29	-1
30	0
31	1
32	2
33	3
34	4
35	5
36	6
37	5
38	4
39	3
40	2
41	3
42	4
43	3
44	2
45	1
46	0
47	1
48	2
49	3
50	4
51	5
52	6
53	5
54	4
55	3
56	2
57	1
58	0
59	-1
60	-2
61	-1
62	0
63	1
64	2
65	3
66	4
67	3
68	2
69	1
70	0
71	1
72	2
73	3
74	4
75	5
76	6
77	5
78	4
79	3
80	2
81	1
82	0
83	1
84	2
85	3
86	4
87	5
88	6
89	5
90	4
91	5
92	6
93	7
94	8
95	9
96	10
97	9
98	8
99	7
100	6
101	5
102	4
103	3
104	2
105	1

n	a(n)
0	0
1	1
2	0
3	1
4	2
5	1
6	0
7	1
8	2
9	3
10	4
11	3
12	2
13	3
14	4
15	5
16	6
17	5
18	4
19	3
20	2
21	1
22	0
23	1
24	2
25	1
26	0
27	-1
28	-2
29	-1
30	0
31	1
32	2
33	3
34	4
35	5
36	6
37	5
38	4
39	3
40	2
41	3
42	4
43	3
44	2
45	1
46	0
47	1
48	2
49	3
50	4
51	5
52	6
53	5
54	4
55	3
56	2
57	1
58	0
59	-1
60	-2
61	-1
62	0
63	1
64	2
65	3
66	4
67	3
68	2
69	1
70	0
71	1
72	2
73	3
74	4
75	5
76	6
77	5
78	4
79	3
80	2
81	1
82	0
83	1
84	2
85	3
86	4
87	5
88	6
89	5
90	4
91	5
92	6
93	7
94	8
95	9
96	10
97	9
98	8
99	7
100	6
101	5
102	4
103	3
104	2
105	1

n	a(n)
0	0
1	1
2	0
3	1
4	2
5	1
6	0
7	1
8	2
9	3
10	4
11	3
12	2
13	3
14	4
15	5
16	6
17	5
18	4
19	3
20	2
21	1
22	0
23	1
24	2
25	1
26	0
27	-1
28	-2
29	-1
30	0
31	1
32	2
33	3
34	4
35	5
36	6
37	5
38	4
39	3
40	2
41	3
42	4
43	3
44	2
45	1
46	0
47	1
48	2
49	3
50	4
51	5
52	6
53	5
54	4
55	3
56	2
57	1
58	0
59	-1
60	-2
61	-1
62	0
63	1
64	2
65	3
66	4
67	3
68	2
69	1
70	0
71	1
72	2
73	3
74	4
75	5
76	6
77	5
78	4
79	3
80	2
81	1
82	0
83	1
84	2
85	3
86	4
87	5
88	6
89	5
90	4
91	5
92	6
93	7
94	8
95	9
96	10
97	9
98	8
99	7
100	6
101	5
102	4
103	3
104	2
105	1