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A137994
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a(n) is the smallest integer > a(n-1) such that {pi^a(n)} < {pi^a(n-1)}, where {x} = x - floor(x), a(1)=1.
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12
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1, 3, 81, 264, 281, 472, 1147, 2081, 3207, 3592, 10479, 12128, 65875
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The sequence was suggested by Leroy Quet on Pi day 2008, cf. A138324.
The next such number must be greater than 100000. [Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 06 2009]
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EXAMPLE
| a(3)=81, since fract((pi^81)=0.0037011283.., but fract(pi^k)>=0.0062766802... for 1<=k<=80; thus fract(pi^81)<fract(pi^k) for 1<=k<81. [Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 06 2009]
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PROG
| (PARI) default(realprecision, 10^4); print1(a=1); for(i=1, 100, f=frac(Pi^a); until( frac(Pi^a++)<f, ); print1(", "a))
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CROSSREFS
| Cf. A001203, A138324, A001672.
Cf. A081464, A153669, A153677, A153685, A153693, A153705, A153713, A154130, A153717 [Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 06 2009]
Sequence in context: A011187 A197248 A183265 * A074386 A116009 A068562
Adjacent sequences: A137991 A137992 A137993 * A137995 A137996 A137997
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KEYWORD
| nonn,more
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AUTHOR
| Leroy Quet and M. F. Hasler (www.univ-ag.fr/~mhasler), Mar 14 2008
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EXTENSIONS
| Three more terms from Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 06 2009
Edited by R, J. Mathar, May 21 2010
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