login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 1
3, 5, 11, 87, 148, 337, 735, 1959, 2142, 2312, 3998, 7144, 11676, 11768, 21623, 36880, 53629 (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..17.

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

AUTHOR

Artur Jasinski, Nov 25 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 16 21:31 EST 2020. Contains 331975 sequences. (Running on oeis4.)