Search: id:A002388
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%I A002388 M4596 N1961
%S A002388 9,8,6,9,6,0,4,4,0,1,0,8,9,3,5,8,6,1,8,8,3,4,4,9,0,9,9,9,8,7,6,1,5,1,1,
%T A002388 3,5,3,1,3,6,9,9,4,0,7,2,4,0,7,9,0,6,2,6,4,1,3,3,4,9,3,7,6,2,2,0,0,4,4,
%U A002388 8,2,2,4,1,9,2,0,5,2,4,3,0,0,1,7,7,3,4,0,3,7,1,8,5,5,2,2,3,1,8,2,4,0,2
%N A002388 Decimal expansion of pi^2.
%C A002388 Also equals the volume of revolution of the sine or cosine curve for 
               one full period,Integral_{0,2Pi} Sin(x)^2 dx. - Robert G. Wilson 
               v Dec 15 2005. - Robert G. Wilson v (rgwv(at)rgwv.com), Dec 15 2005
%D A002388 W. E. Mansell, Tables of Natural and Common Logarithms. Royal Society 
               Mathematical Tables, Vol. 8, Cambridge Univ. Press, 1964, p. XVIII.
%D A002388 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002388 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002388 Harry J. Smith, <a href="b002388.txt">Table of n, a(n) for n=1,...,20000</
               a>
%H A002388 D. H. Bailey and J. M. Borwein, <a href="http://eprints.cecm.sfu.ca/archive/
               00000269/">Experimental Mathematics: Examples, Methods and Implications</
               a>
%H A002388 N. D. Elkies, <a href="http://www.math.harvard.edu/~elkies/Misc/pi10.pdf">
               Why is (pi)^2 so close to 10?</a>
%H A002388 S. Plouffe, <a href="http://www.worldwideschool.org/library/books/sci/
               math/MiscellaneousMathematicalConstants/chap75.html">Pi^2 to 10000 
               digits</a>
%H A002388 S. Plouffe, Plouffe's Inverter, <a href="http://pi.lacim.uqam.ca/piDATA/
               pipi.txt">Pi^2 to 10000 digits</a>
%H A002388 <a href="Sindx_Ph.html#Pi314">Index entries for sequences related to 
               the number Pi</a>
%F A002388 Pi^2 = 11/2 + 16 * sum((1+k-k^3)/(1-k^2)^3,k=2...infinity) [From Alexander 
               R. Povolotsky (pevnev(AT)juno.com), May 04 2009]
%e A002388 9.8696044010893586188344909998761511353136994072407906264133493762...
%e A002388 9.869604401089358618834490999876151135313699407240790626413349376220044... 
               [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]
%p A002388 Pi^2 = 11/2 + 16 * sum((1+k-k^3)/(1-k^2)^3,k=2...infinity) [From Alexander 
               R. Povolotsky (pevnev(AT)juno.com), May 04 2009]
%t A002388 RealDigits[Pi^2, 10, 111][[1]] (* Robert G. Wilson v *)
%o A002388 (PARI) { default(realprecision, 20080); x=Pi^2; for (n=1, 20000, d=floor(x); 
               x=(x-d)*10; write("b002388.txt", n, " ", d)); } [From Harry J. Smith 
               (hjsmithh(AT)sbcglobal.net), May 31 2009]
%Y A002388 Cf. A102753.
%Y A002388 Cf. A058284 Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               May 31 2009]
%Y A002388 Sequence in context: A086053 A129269 A094145 this_sequence A011116 A106334 
               A089739
%Y A002388 Adjacent sequences: A002385 A002386 A002387 this_sequence A002389 A002390 
               A002391
%K A002388 nonn,cons
%O A002388 1,1
%A A002388 N. J. A. Sloane (njas(AT)research.att.com).
%E A002388 More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Dec 15 2005

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