login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A225738
Number of numbers k such that k < d(k)^(n/10), where d(k) is the number of divisors of k.
11
0, 1, 1, 3, 4, 4, 7, 14, 21, 29, 52, 89, 155, 284, 528, 1018, 2046, 4282, 9272, 21466, 50967
OFFSET
10,4
MATHEMATICA
Table[f = 0; Do[If[k < DivisorSigma[0, k]^(n/10), f++], {k, 10^4}]; f, {n, 10, 20}]
CROSSREFS
Cf. A034884 (n < d(n)^2), A056757 (n < d(n)^3), A225729-A225737.
Sequence in context: A121924 A241740 A342332 * A186679 A275742 A161496
KEYWORD
nonn
AUTHOR
T. D. Noe, May 14 2013
STATUS
approved