A232536 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

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”).

Other ways to Give

A232536

Values x of successive minima records of k = log(x)/log(d) where d runs through the positive values of x^3-round(sqrt(x^3))^2.

3, 5, 11, 87, 148, 337, 735, 1959, 2142, 2312, 3998, 7144, 11676, 11768, 21623, 36880, 53629, 58449, 944820, 1154502, 1227450, 2319244, 2694319, 4308024, 6533992, 6907256, 48134226, 108443391, 179294589, 274644065, 664314556

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

OFFSET

1,1

COMMENTS

k = log(x)/log(d) tends down to 2/3 as x tends to infinity.

LINKS

Table of n, a(n) for n=1..31.

MATHEMATICA

kk = 2; Do[d = x^3 - Round[Sqrt[x^3]]^2; If[d != 0, If[d > 0, w = Log[x]/Log[d]; If[w < kk, kk = w; AppendTo[aa, x]]]], {x, 1, 1000000}]; aa

CROSSREFS

Cf. A232008.

Sequence in context: A182354 A046928 A089070 * A168040 A068157 A062530