A232536 - OEIS

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

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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

Adjacent sequences: A232533 A232534 A232535 * A232537 A232538 A232539

KEYWORD

nonn,more

AUTHOR

Artur Jasinski, Nov 25 2013

EXTENSIONS

a(18)-a(31) from Amiram Eldar, Oct 23 2024

STATUS

approved