A324555 - cp's OEIS frontend

A324555 a(n) = the smallest number m such that gcd(tau(m), pod(m)) = n where tau(k) = the number of the divisors of k (A000005) and pod(k) = the product of the divisors of k (A007955).

n	a(n)
1	1
2	2
3	9
4	6
5	400
6	12
7	3136
8	24
9	36
10	80
11	123904
12	60
13	692224
14	448
15	2025
16	120
17	18939904
18	180
19	94633984
20	240
21	35721
22	11264
23	2218786816
24	360
25	10000
26	53248
27	900
28	1344
29	225754218496
30	720
31	1031865892864
32	840
33	7144929
34	1114112
35	1960000
36	1260
37	94076963651584
38	4980736

[1, 2, 9, 6, 400, 12, 3136, 24, 36, 80, 123904, 60, 692224, 448, 2025, 120, 18939904, 180, 94633984, 240, 35721, 11264, 2218786816, 360, 10000, 53248, 900, 1344, 225754218496, 720, 1031865892864, 840, 7144929, 1114112, 1960000, 1260, 94076963651584, 4980736]

cp's OEIS Frontend

A324555 a(n) = the smallest number m such that gcd(tau(m), pod(m)) = n where tau(k) = the number of the divisors of k (A000005) and pod(k) = the product of the divisors of k (A007955).

Table of values

List of values