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A225729
Numbers n such that n < d(n)^(21/10), where d(n) is the number of divisors of n.
12
2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 24, 28, 30, 32, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 90, 96, 100, 108, 112, 120, 126, 132, 140, 144, 150, 156, 160, 168, 180, 192, 210, 216, 240, 252, 264, 270, 280, 288, 300, 312, 330, 336, 360, 396
OFFSET
1,1
COMMENTS
Alternatively, we could write n^10 < d(n)^21. The last odd number is a(10) = 15.
LINKS
T. D. Noe, Table of n, a(n) for n = 1..89 (complete sequence)
MATHEMATICA
t = {}; Do[If[n < DivisorSigma[0, n]^(21/10), AppendTo[t, n]], {n, 10^4}]; t
CROSSREFS
Cf. A034884 (n < d(n)^2), A175495 (n < 2^d(n)), A056757 (n < d(n)^3).
Sequence in context: A363227 A225730 A256389 * A035033 A054219 A196277
KEYWORD
nonn,fini,full
AUTHOR
T. D. Noe, May 14 2013
STATUS
approved