A321287 - cp's OEIS frontend

A321287 Expansion of Product_{k>=1} (1 + x^k)^tau_k(k), where tau_k(k) = number of ordered k-factorizations of k (A163767).

n	a(n)
0	1
1	1
2	2
3	5
4	14
5	22
6	70
7	109
8	318
9	551
10	1203
11	2136
12	5752
13	9263
14	20641
15	37151
16	85084
17	144918
18	317356
19	546730
20	1196302
21	2076810
22	4281584
23	7459351
24	15860805
25	27146911
26	54715933
27	95712097
28	194059563
29	334322338
30	663159101
31	1147479053
32	2270647257
33	3923732160
34	7587368893

[1, 1, 2, 5, 14, 22, 70, 109, 318, 551, 1203, 2136, 5752, 9263, 20641, 37151, 85084, 144918, 317356, 546730, 1196302, 2076810, 4281584, 7459351, 15860805, 27146911, 54715933, 95712097, 194059563, 334322338, 663159101, 1147479053, 2270647257, 3923732160, 7587368893]

cp's OEIS Frontend

A321287 Expansion of Product_{k>=1} (1 + x^k)^tau_k(k), where tau_k(k) = number of ordered k-factorizations of k (A163767).

Table of values

List of values