A306912 - cp's OEIS frontend

A306912 a(n) = 1 + Sum_{k=1..n} Sum_{d|k} mu(k/d)*p(d), where p(d) = number of partitions of d (A000041).

n	a(n)
0	1
1	2
2	3
3	5
4	8
5	14
6	21
7	35
8	52
9	79
10	113
11	168
12	231
13	331
14	450
15	617
16	826
17	1122
18	1469
19	1958
20	2540
21	3315
22	4260
23	5514
24	6995
25	8946
26	11280
27	14260
28	17840
29	22404
30	27790
31	34631
32	42749
33	52834
34	64846
35	79708
36	97234
37	118870
38	144394
39	175476
40	212170
41	256752
42	309007
43	372267
44	446437
45	535368

[1, 2, 3, 5, 8, 14, 21, 35, 52, 79, 113, 168, 231, 331, 450, 617, 826, 1122, 1469, 1958, 2540, 3315, 4260, 5514, 6995, 8946, 11280, 14260, 17840, 22404, 27790, 34631, 42749, 52834, 64846, 79708, 97234, 118870, 144394, 175476, 212170, 256752, 309007, 372267, 446437, 535368]

cp's OEIS Frontend

A306912 a(n) = 1 + Sum_{k=1..n} Sum_{d|k} mu(k/d)*p(d), where p(d) = number of partitions of d (A000041).

Table of values

List of values