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A232008 Values x of successive minima records of k=Log[x]/Log[-d] where d runs through the negative values of x^3-round(sqrt(x^3))^2. 1
6, 7, 75, 88, 140, 236, 591, 2296, 2729, 5615, 8980, 21595, 22551, 36848, 45545, 282080, 471585 (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. A232536.

Sequence in context: A256292 A042877 A219517 * A156791 A223532 A041081

Adjacent sequences:  A232005 A232006 A232007 * A232009 A232010 A232011

KEYWORD

nonn

AUTHOR

Artur Jasinski, Nov 25 2013

STATUS

approved

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Last modified October 16 03:37 EDT 2019. Contains 328040 sequences. (Running on oeis4.)