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A153714 Greatest number m such that the fractional part of pi^A153710(n) <= 1/m. 7
7, 159, 50, 10, 21, 55, 117, 270, 307, 744, 757, 7804, 13876, 62099, 70718, 154755 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..16.

FORMULA

a(n):=floor(1/fract(pi^A153710(n))), where fract(x) = x-floor(x).

EXAMPLE

a(2)=159 since 1/160<fract(pi^A153710(2))=fract(pi^3)=0.0062766...<=1/159.

MATHEMATICA

A153710 = {1, 3, 5, 9, 10, 11, 59, 81, 264, 281, 472, 3592, 10479,

   12128, 65875, 118885};

Table[fp = FractionalPart[Pi^A153710[[n]]]; m = Floor[1/fp];

While[fp <= 1/m, m++]; m - 1, {n, 1, Length[A153710]}] (* Robert Price, May 10 2019 *)

CROSSREFS

Cf. A153662, A153670, A153678, A153686, A153694, A153702, A153710, A154130, A153722.

Cf. A001672.

Sequence in context: A014385 A114485 A061010 * A153713 A137995 A177779

Adjacent sequences:  A153711 A153712 A153713 * A153715 A153716 A153717

KEYWORD

nonn,more

AUTHOR

Hieronymus Fischer, Jan 06 2009

EXTENSIONS

a(16) from Robert Price, May 10 2019

STATUS

approved

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Last modified October 21 16:50 EDT 2019. Contains 328302 sequences. (Running on oeis4.)