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Numbers k such that (Pi/2)*k^2*sin(1/k) < floor(Pi*k/2).
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%I #23 Dec 23 2021 21:50:59

%S 78256779,340262731,1963319607,13402974518,26805949036,40208923554,

%T 5703436923116,136308121570117,272616243140234,1684937174853026414,

%U 3369874349706052828,5054811524559079242,75474011359728834791267,909474452321624805685313,1818948904643249611370626

%N Numbers k such that (Pi/2)*k^2*sin(1/k) < floor(Pi*k/2).

%C The solution uses sequence A001203, the continued fraction expansion of Pi. - _T. D. Noe_, Mar 13 2014

%H Michael A. Filaseta, Allen Stenger, D. Callan and Z. Franco, <a href="http://www.jstor.org/stable/2589451">Solution to Problem 10640: When a Multiple of Pi/2 is Close to an Integer</a>, Amer. Math. Monthly, 107 (2000), 177-178.

%Y Cf. A001203.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Mar 21 2000

%E More terms from Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), May 25 2000

%E Better name from _T. D. Noe_, Mar 13 2014

%E More terms from _Sean A. Irvine_, Dec 23 2021