Search: id:A102367
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%I A102367
%S A102367 11,52174,573204,122925461,534483448,3083975227,2685575996367,
%T A102367 214112296674652,131226315167691099699,396325638628212603442,
%U A102367 5947531272548328355975,118554299812338354516058
%N A102367 (Numerator of n-th convergent to Pi having an even numerator)/2.
%C A102367 Abs[Cos[a(n)]] approaches 0; Abs[Sin[a(n)]] approaches 1.
%H A102367 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Convergent.html">"Convergent."</a>
%e A102367 a(1)=11 because the first convergent of Pi with an even numerator is 
               22/7
%t A102367 Select[Table[1/2*Numerator[FromContinuedFraction[ContinuedFraction[Pi, 
               k][[Range[1, k]]]]], {k, 1, 60}], IntegerQ]
%Y A102367 Cf. A002485.
%Y A102367 Sequence in context: A076783 A145526 A068647 this_sequence A055322 A165934 
               A110780
%Y A102367 Adjacent sequences: A102364 A102365 A102366 this_sequence A102368 A102369 
               A102370
%K A102367 base,nonn
%O A102367 1,1
%A A102367 Joseph Biberstine (jrbibers(AT)indiana.edu), Feb 22 2005

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