A319130 - cp's OEIS frontend

A319130 Expansion of Product_{k>=1} 1/(1 - x^k)^(2^omega(k)), where omega(k) = number of distinct primes dividing k (A001221).

n	a(n)
0	1
1	1
2	3
3	5
4	10
5	16
6	31
7	47
8	81
9	125
10	203
11	305
12	482
13	710
14	1082
15	1582
16	2348
17	3380
18	4933
19	7007
20	10048
21	14136
22	19972
23	27796
24	38822
25	53510
26	73903
27	101033
28	138165
29	187351
30	254055
31	341923
32	459956
33	614904
34	821162
35	1090740
36	1447109
37	1910665
38	2519325
39	3308019
40	4336956

[1, 1, 3, 5, 10, 16, 31, 47, 81, 125, 203, 305, 482, 710, 1082, 1582, 2348, 3380, 4933, 7007, 10048, 14136, 19972, 27796, 38822, 53510, 73903, 101033, 138165, 187351, 254055, 341923, 459956, 614904, 821162, 1090740, 1447109, 1910665, 2519325, 3308019, 4336956]

cp's OEIS Frontend

A319130 Expansion of Product_{k>=1} 1/(1 - x^k)^(2^omega(k)), where omega(k) = number of distinct primes dividing k (A001221).

Table of values

List of values