OFFSET
1,2
COMMENTS
Corresponding values of divisors d and tau(d) are 1, 2, 9, 8, 12, 18, 32, ..., and 1, 2, 3, 4, 6, 6, 6, ..., respectively.
a(8) = 2^144*3^72 = 12^72 is too large to be included in Data. - Giovanni Resta, Feb 28 2020
EXAMPLE
19683 is a term because 3^9 = 19683; 9 divides 19683, tau(9) = 3.
MATHEMATICA
seqQ[n_] := AnyTrue[Divisors[n], DivisorSigma[0, #]^# == n &]; Select[Range[70000], seqQ] (* Amiram Eldar, Feb 28 2020 *)
PROG
(Magma) [n: n in [1..100000] | #[d: d in Divisors(n) | NumberOfDivisors(d)^d eq n] ge 1]
(PARI) isok(m) = fordiv(m, d, if (numdiv(d)^d == m, return (1)); ); \\ Michel Marcus, Mar 07 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Feb 28 2020
EXTENSIONS
More terms from Giovanni Resta, Feb 28 2020
STATUS
approved