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A153713 Greatest number m such that the fractional part of Pi^A137994(n) <= 1/m. 6
7, 159, 270, 307, 744, 757, 796, 1079, 1226, 7804, 13876, 62099, 70718, 86902, 154755 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..15.

FORMULA

a(n) = floor(1/fract(Pi^A137994(n))), where fract(x) = x-floor(x).

EXAMPLE

a(2)=159 since 1/160<fract(Pi^A137994(2))=fract(Pi^3)=0.0062766...<=1/159.

MATHEMATICA

A137994 = {1, 3, 81, 264, 281, 472, 1147, 2081, 3207, 3592, 10479, 12128, 65875, 114791, 118885};

Table[fp = FractionalPart[Pi^A137994[[n]]]; m = Floor[1/fp];

While[fp <= 1/m, m++]; m - 1, {n, 1, Length[A137994]}] (* Robert Price, Mar 26 2019 *)

CROSSREFS

Cf. A081464, A153669, A153677, A153685, A153693, A153701, A137994, A154130, A153721.

Cf. A001672.

Sequence in context: A114485 A061010 A153714 * A137995 A177779 A177469

Adjacent sequences:  A153710 A153711 A153712 * A153714 A153715 A153716

KEYWORD

nonn,more

AUTHOR

Hieronymus Fischer, Jan 06 2009

EXTENSIONS

a(14)-a(15) from Robert Price, Mar 26 2019

STATUS

approved

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Last modified June 25 10:28 EDT 2021. Contains 345453 sequences. (Running on oeis4.)