A225733 Numbers n such that n < d(n)^(5/2), where d(n) is the number of divisors of n.

2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 26, 27, 28, 30, 32, 36, 40, 42, 44, 45, 48, 50, 52, 54, 56, 60, 63, 64, 66, 68, 70, 72, 75, 76, 78, 80, 84, 88, 90, 96, 100, 102, 104, 105, 108, 110, 112, 114, 120, 126, 128, 130, 132, 135, 136, 138

Offset

1,1

Comments

Alternatively, we could write n^2 < d(n)^5. The last odd number is a(206) = 945.

Links

T. D. Noe, Table of n, a(n) for n = 1..1018 (complete sequence)

Mathematica

t = {}; Do[If[n < DivisorSigma[0, n]^(5/2), AppendTo[t, n]], {n, 10^6}]; t

Crossrefs

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

Cf. A225729-A225738.

Sequence in context: A225736 A225735 A225734 * A225732 A295585 A324578

Adjacent sequences: A225730 A225731 A225732 * A225734 A225735 A225736

Keyword

nonn,fini,full

Author

T. D. Noe, May 14 2013

Status

approved