Search: id:A103714
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%I A103714
%S A103714 1,4,4,2,3,5,9,9,4,4,8,4,1,4,0,9,3,9,2,9,3,7,5,4,6,5,5,3,9,6,0,1,3,3,5,
%T A103714 3,5,8,0,5,4,1,1,5,2,3,5,9,5,2,1,0,0,1,2,9,2,1,7,6,5,3,4,9,2,2,6,2,6,0,
%U A103714 7,2,9,7,2,2,1,9,5,3,9,3,0,2,9,2,4,3,8,4,2,1,9,5,5,3,9,6,5,8,6,5,9,8,6
%N A103714 Decimal expansion of the area of the surface generated by revolving one 
               arch of the cosine curve about the x-axis.
%C A103714 Equal to pi times twice its analogue for the parabola (see A103710).
%D A103714 C. E. Love, Differential and Integral Calculus, 4th ed., Macmillan, 1950, 
               p. 288.
%D A103714 S. Reese, A universal parabolic constant, 2004, preprint.
%H A103714 S. R. Finch, <a href="http://algo.inria.fr/csolve/erradd.pdf">Mathematical 
               Constants, addenda, sec. 8.1</a>
%H A103714 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               UniversalParabolicConstant.html">Universal Parabolic Constant</a>
%F A103714 2*pi*(sqrt(2) + ln(1 + sqrt(2))).
%e A103714 14.423599448414093929375465539601335358054115235952...
%Y A103714 Cf. 2*A000796*A103710. See also A103713.
%Y A103714 Sequence in context: A146899 A031351 A068923 this_sequence A112108 A021230 
               A011321
%Y A103714 Adjacent sequences: A103711 A103712 A103713 this_sequence A103715 A103716 
               A103717
%K A103714 cons,easy,nonn
%O A103714 2,2
%A A103714 Sylvester Reese and Jonathan Sondow (jsondow(AT)alumni.princeton.edu), 
               Feb 21 2005

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