A253174 - cp's OEIS frontend

A253174 For a permutation of the positive integers B={b(k)}, denote L_B(n) = Sum_{k=1..n} lambda(b(k)), where lambda(n) is Liouville's function (A008836). In this sequence, a(n) = L_B(n) in case B = A098550.

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

[1, 0, -1, 0, 1, 0, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 5, 4, 3, 4, 5, 4, 3, 4, 5, 4, 3, 4, 3, 2, 1, 2, 3, 4, 5, 6, 7, 8, 7, 8, 9, 8, 7, 6, 7, 6, 7, 8, 9, 8, 7, 6, 7, 6, 5, 6, 7, 8, 9, 10, 9, 8, 9, 10, 11, 10, 9, 10, 11, 12, 13, 14, 13, 14, 13, 12, 13, 12, 11, 10, 11, 10, 9, 8, 9, 10, 9, 8, 9, 10, 11, 12, 11, 10, 9, 10, 11, 12, 13, 12]

cp's OEIS Frontend

A253174 For a permutation of the positive integers B={b(k)}, denote L_B(n) = Sum_{k=1..n} lambda(b(k)), where lambda(n) is Liouville's function (A008836). In this sequence, a(n) = L_B(n) in case B = A098550.

Table of values

List of values

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

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

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