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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 (list; graph; refs; listen; history; text; internal format)
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).

Cf. A225730-A225738.

Sequence in context: A246352 A225730 A256389 * A035033 A054220 A196277

Adjacent sequences:  A225726 A225727 A225728 * A225730 A225731 A225732

KEYWORD

nonn,fini,full

AUTHOR

T. D. Noe, May 14 2013

STATUS

approved

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Last modified February 27 09:24 EST 2020. Contains 332301 sequences. (Running on oeis4.)