Search: id:A065014
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%I A065014
%S A065014 3,2,11,5,27,10,51,17,83,26,123,37,171,50,227,65,291,82,363,101,443,
%T A065014 122,531,145,627,170,731,197,843,226,963,257,1091,290,1227,325,1371,
%U A065014 362,1523,401,1683,442,1851,485,2027,530,2211,577,2403,626,2603,677
%N A065014 Least integer for which the periodic part of the continued fraction for 
               its square root begins with n.
%F A065014 G.f.: (x^5+3x^4-x^3+2x^2+2x+3)/(1-x^2)^3.
%e A065014 a(3) = 11 because the continued fraction for the square root of 11 is 
               3, {3, 6}.
%t A065014 a = Table[0, {70}]; Do[ b = First[ Last[ ContinuedFraction[ Sqrt[ n]]]]; 
               If[ b < 71 && a[[b]] == 0, a[[b]] = n], {n, 2, 10^4} ]; a
%Y A065014 Cf. A013945. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 02 
               2008]
%Y A065014 Sequence in context: A110326 A112061 A013945 this_sequence A072656 A163841 
               A072634
%Y A065014 Adjacent sequences: A065011 A065012 A065013 this_sequence A065015 A065016 
               A065017
%K A065014 cofr,easy,nonn
%O A065014 1,1
%A A065014 Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 01 2001

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