Search: id:A093725
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%I A093725
%S A093725 1,3,8,6,23,199,576,208,4809,4633,40168,29022,335501,33435,62272,506164,
%T A093725 23405457,67643027,195491976,47081858,39825101,4718963799,13638058496,
%U A093725 4926840072,5424316981,329207907547,951428510952,23704133014
%N A093725 Given the infinite continued fraction (1+i)+((1+i)/(1+i)+((1+i)/((1+i)+...)))), 
               where i is the square root of (-1), this is the numerator of the 
               real part of the convergents.
%C A093725 The sequence of complex numbers (which this sequence is part of) appears 
               to converge to
%C A093725 1.529085513635746125160990523790225210619365... + i*0.74293413587832283909143193794726628109624299200...
%C A093725 Using Plouffe's Inverter, http://pi.lacim.uqam.ca/eng/, yields
%C A093725 Roots of polynomials of 5th degree (coeffs: -9..9) 1529085513635746 = 
               1+1*x-4*x^2-6*x^3+4*x^4+4*x^5
%C A093725 Roots of polynomials of 5th degree (coeffs: -9..9) 7429341358783228 = 
               1+5*x+4*x^2-2*x^3-4*x^4-4*x^5
%t A093725 Table[ Re[ Numerator[ FromContinuedFraction[ Table[1 + I, {n}]]]], {n, 
               30}]
%Y A093725 Cf. A091806, A091807, A091808, A091809, A093726, A093727.
%Y A093725 Sequence in context: A164654 A072396 A001175 this_sequence A011413 A010629 
               A016671
%Y A093725 Adjacent sequences: A093722 A093723 A093724 this_sequence A093726 A093727 
               A093728
%K A093725 frac,nonn
%O A093725 1,2
%A A093725 Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 11 2004

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