A262400 - cp's OEIS frontend

A262400 Let f(x) = 1 + Sum_{j>=4} (|mu(j)| - |mu(j-1)|)*x^j, where mu(n) is the Möbius function (A008683). Then a(n) is n times the coefficient of x^n in the expansion of log(f(x)).

n	a(n)
0	0
1	0
2	0
3	0
4	-4
5	5
6	0
7	0
8	-12
9	9
10	5
11	0
12	-28
13	39
14	0
15	-10
16	-60
17	102
18	-45
19	0
20	-119
21	252
22	-132
23	0
24	-252
25	580
26	-403
27	9
28	-424
29	1363
30	-1210
31	248
32	-828
33	3003
34	-3332
35	1195
36	-1729
37	6697
38	-8740
39	4290
40	-3807
41	14514
42	-22176
43	13889
44	-9288
45	31049
46	-54142
47	41501
48	-25260
49	66885
50	-129570

[0, 0, 0, 0, -4, 5, 0, 0, -12, 9, 5, 0, -28, 39, 0, -10, -60, 102, -45, 0, -119, 252, -132, 0, -252, 580, -403, 9, -424, 1363, -1210, 248, -828, 3003, -3332, 1195, -1729, 6697, -8740, 4290, -3807, 14514, -22176, 13889, -9288, 31049, -54142, 41501, -25260, 66885, -129570]

cp's OEIS Frontend

A262400 Let f(x) = 1 + Sum_{j>=4} (|mu(j)| - |mu(j-1)|)*x^j, where mu(n) is the Möbius function (A008683). Then a(n) is n times the coefficient of x^n in the expansion of log(f(x)).

Table of values

List of values