A305049 - cp's OEIS frontend

A305049 Expansion of 1/(1 - Sum_{k>=1} tau_k(k)*x^k), where tau_k(k) = number of ordered k-factorizations of k (A163767).

n	a(n)
0	1
1	1
2	3
3	8
4	27
5	67
6	216
7	569
8	1747
9	4812
10	14041
11	39483
12	115408
13	326385
14	941735
15	2684170
16	7725097
17	22063737
18	63354066
19	181223899
20	519883185
21	1488316952
22	4266788191
23	12219763777
24	35023995792
25	100326757107
26	287503501905
27	823654031283
28	2360146144917
29	6761847714698
30	19374935267810

[1, 1, 3, 8, 27, 67, 216, 569, 1747, 4812, 14041, 39483, 115408, 326385, 941735, 2684170, 7725097, 22063737, 63354066, 181223899, 519883185, 1488316952, 4266788191, 12219763777, 35023995792, 100326757107, 287503501905, 823654031283, 2360146144917, 6761847714698, 19374935267810]

cp's OEIS Frontend

A305049 Expansion of 1/(1 - Sum_{k>=1} tau_k(k)*x^k), where tau_k(k) = number of ordered k-factorizations of k (A163767).

Table of values

List of values