A225737 Numbers n such that n < d(n)^(29/10), where d(n) is the number of divisors of n.

2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 60, 63, 64, 66, 68, 70, 72, 75, 76, 78, 80, 81, 84, 88, 90, 92, 96, 98, 99, 100, 102, 104, 105, 108, 110

Offset

1,1

Comments

Alternatively, we could write n^10 < d(n)^29. The last odd term is a(6362) = 225225.

Links

T. D. Noe, Table of n, a(n) for n = 1..21466 (complete sequence)

Mathematica

t = {}; Do[If[n < DivisorSigma[0, n]^(29/10), AppendTo[t, n]], {n, 10^7}]; t

Crossrefs

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

Cf. A225729-A225738.

Sequence in context: A080672 A056757 A349898 * A357315 A079333 A063938

Adjacent sequences: A225734 A225735 A225736 * A225738 A225739 A225740

Keyword

nonn,fini,full

Author

T. D. Noe, May 14 2013

Status

approved