A072121 a(1) = 1; for n > 1, a(n) = smallest number > a(n-1) having at least n divisors.

1, 2, 4, 6, 12, 18, 24, 30, 36, 48, 60, 72, 120, 144, 168, 180, 240, 252, 336, 360, 420, 480, 504, 540, 720, 840, 900, 960, 1008, 1080, 1260, 1320, 1440, 1680, 1800, 1980, 2160, 2520, 2640, 2880, 3360, 3600, 3780, 3960, 4200, 4320, 4620, 4680, 5040, 6300

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..1000

Maple

f:= proc(n, a) local k;
for k from a+1 do
  if numtheory:-tau(k) >= n then return k fi
od
end proc:
R:= 1: x:= 1:
for n from 2 to 100 do x:= f(n, x); R:= R, x od:
R; # Robert Israel, Jan 09 2024

Crossrefs

Cf. A069654, A061799.

Sequence in context: A325283 A167706 A331091 * A349179 A175305 A342702

Adjacent sequences: A072118 A072119 A072120 * A072122 A072123 A072124

Keyword

nonn

Author

Vladeta Jovovic, Jun 19 2002

Status

approved