A305871 - cp's OEIS frontend

A305871 -1 + Product_{n>=1} (1 + x^n)^a(n) = g.f. of A000040 (prime numbers).

n	a(n)
1	2
2	2
3	1
4	2
5	2
6	-2
7	2
8	-2
9	4
10	-1
11	4
12	-7
13	10
14	-19
15	20
16	-20
17	34
18	-42
19	64
20	-100
21	126
22	-178
23	258
24	-326
25	464
26	-675
27	936
28	-1371
29	1888
30	-2550
31	3690
32	-5208
33	7292
34	-10467
35	14742
36	-20808
37	29610
38	-41586
39	59052
40	-84438
41	119602
42	-170153
43	242256
44	-343534
45	489550
46	-697815

[2, 2, 1, 2, 2, -2, 2, -2, 4, -1, 4, -7, 10, -19, 20, -20, 34, -42, 64, -100, 126, -178, 258, -326, 464, -675, 936, -1371, 1888, -2550, 3690, -5208, 7292, -10467, 14742, -20808, 29610, -41586, 59052, -84438, 119602, -170153, 242256, -343534, 489550, -697815]

cp's OEIS Frontend

A305871 -1 + Product_{n>=1} (1 + x^n)^a(n) = g.f. of A000040 (prime numbers).

Table of values

List of values