A321191 - cp's OEIS frontend

A321191 a(n) = [x^n] Product_{k>=1} 1/(1 - x^k)^tau_n(k), where tau_n(k) = number of ordered n-factorizations of k.

n	a(n)
0	1
1	1
2	3
3	7
4	29
5	71
6	336
7	932
8	4593
9	13690
10	69708
11	222718
12	1163734
13	3902016
14	20825927
15	73229397
16	397806717
17	1452193925
18	8016518379
19	30328368519
20	169781766056
21	662143701506
22	3755514158949
23	15071604241851
24	86496856963200
25	356063096545571
26	2066351471542036

[1, 1, 3, 7, 29, 71, 336, 932, 4593, 13690, 69708, 222718, 1163734, 3902016, 20825927, 73229397, 397806717, 1452193925, 8016518379, 30328368519, 169781766056, 662143701506, 3755514158949, 15071604241851, 86496856963200, 356063096545571, 2066351471542036]

cp's OEIS Frontend

A321191 a(n) = [x^n] Product_{k>=1} 1/(1 - x^k)^tau_n(k), where tau_n(k) = number of ordered n-factorizations of k.

Table of values

List of values