A225731 Numbers n such that n < d(n)^(23/10), where d(n) is the number of divisors of n.

2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 28, 30, 32, 36, 40, 42, 44, 45, 48, 50, 52, 54, 56, 60, 64, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 105, 108, 110, 112, 114, 120, 126, 132, 140, 144, 150, 156, 160, 162, 168, 176, 180, 192

Offset

1,1

Comments

Alternatively, we could write n^10 < d(n)^23. The last odd number is a(44) = 105.

Links

T. D. Noe, Table of n, a(n) for n = 1..284 (complete sequence)

Mathematica

t = {}; Do[If[n < DivisorSigma[0, n]^(23/10), AppendTo[t, n]], {n, 10^5}]; t

Crossrefs

Cf. A034884 (n < d(n)^2), A175495 (n < 2^d(n)), A056757 (n < d(n)^3).

Cf. A225729-A225738.

Sequence in context: A067290 A106577 A068577 * A246352 A363227 A225730

Adjacent sequences: A225728 A225729 A225730 * A225732 A225733 A225734

Keyword

nonn,fini,full

Author

T. D. Noe, May 14 2013

Status

approved