Search: id:A052469
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%I A052469
%S A052469 4,32,96,1024,2560,4096,28672,524288,1179648,5242880,11534336,
%T A052469 100663296,218103808,939524096,134217728,68719476736,146028888064,
%U A052469 206158430208,1305670057984,2199023255552,7696581394432
%N A052469 Denominators in the Taylor series for arccosh(x)-ln(2x).
%D A052469 Bronstein-Semendjajew, sprawotchnik po matematikje, 6th russian ed. 1956, 
               ch. 4.2.6
%H A052469 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               InverseHyperbolicSecant.html">Link to a section of The World of Mathematics.</
               a>
%H A052469 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               InverseHyperbolicCosecant.html">Inverse Hyperbolic Cosecant</a>
%H A052469 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               InverseHyperbolicCosine.html">Inverse Hyperbolic Cosine</a>
%H A052469 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               InverseHyperbolicSine.html">Inverse Hyperbolic Sine</a>
%F A052469 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jul 06 
               2009: (Start)
%F A052469 a(n) = denom((2*n-1)!/( 2^(2*n)* (n!)^2))
%F A052469 (End)
%e A052469 arccosh(x) = ln(2x) - 1/(4*x^2) - 3/(32*x^4) - 5/(96*x^6) - .. for x>
               1
%Y A052469 Cf. A002595.
%Y A052469 A052468(n) / a(n) = A001147(n) / ( A000165(n) *2*n )
%Y A052469 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jul 06 
               2009: (Start)
%Y A052469 Equals 2*A162442(n+1) for n =>1.
%Y A052469 A52468(n)/A52469(n) = (1/(2*n))*A001790(n)/A046161(n) for n=>1.
%Y A052469 (End)
%Y A052469 Sequence in context: A012036 A153794 A108914 this_sequence A033430 A088658 
               A088802
%Y A052469 Adjacent sequences: A052466 A052467 A052468 this_sequence A052470 A052471 
               A052472
%K A052469 nonn,easy,frac
%O A052469 1,1
%A A052469 Eric Weisstein (eric(AT)weisstein.com)
%E A052469 Updated May 22 2001 by Frank.Ellermann(AT)t-online.de

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