Search: id:A005596
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%I A005596 M2608
%S A005596 3,7,3,9,5,5,8,1,3,6,1,9,2,0,2,2,8,8,0,5,4,7,2,8,0,5,4,3,4,6,4,1,
%T A005596 6,4,1,5,1,1,1,6,2,9,2,4,8,6,0,6,1,5,0,0,4,2,0,9,4,7,4,2,8,0,2,4,1,
%U A005596 7,3,5,0,1,8,2,0,4,0,0,2,8,0,8,2,3,4,4,3,0,4,3,1,7,0,8,7,2,5,0,5,6
%N A005596 Decimal expansion of Artin's constant product(1-1/(p^2-p), p=prime).
%D A005596 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005596 J. W. Wrench, Jr., Evaluation of Artin's constant and the twin-prime 
               constant, Math. Comp., 15 (1961), 396-398.
%H A005596 Harry J. Smith, <a href="b005596.txt">Table of n, a(n) for n=0,...,1000</
               a>
%H A005596 G. Niklasch, <a href="http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml">
               Some number theoretical constants: 1000-digit values</a>
%H A005596 G. Niklasch, <a href="http://www.gn-50uma.de/alula/essays/Moree/Moree-details.en.shtml#t01-artin">
               Artin's constant</a>
%H A005596 S. Plouffe, <a href="http://www.worldwideschool.org/library/books/sci/
               math/MiscellaneousMathematicalConstants/chap8.html">The Artin's Constant=product(1-1/
               p**2-p), p=prime)</a>
%H A005596 T. O. Silva, Plouffe's Inverter, <a href="http://pi.lacim.uqam.ca/piDATA/
               artin.txt">The first 500 digits of Artin's constant</a>
%H A005596 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               ArtinsConstant.html">Link to a section of The World of Mathematics</
               a>
%H A005596 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               FullReptendPrime.html">Full Reptend Prime</a>
%H A005596 <a href="Sindx_Ar.html#Artin">Index entries for sequences related to 
               Artin's conjecture</a>
%H A005596 Pieter Moree, <a href="http://arXiv.org/abs/math.NT/0412262/">Artin's 
               primitive root conjecture - a survey</a>, math.NT/0412262
%F A005596 Equals product_{j=2..infinity} 1/Zeta(j)^A006206(j), where Zeta(.)=A013661, 
               A002117 etc. is Riemann's zeta function. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Feb 14 2009]
%e A005596 0.37395581361920228805472805434641641511162924860615...
%o A005596 Contribution from Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 15 
               2009: (Start)
%o A005596 (PARI) { default(realprecision,1002); artin=\
%o A005596 0.37395581361920228805472805434641641511162924860615004209474280241\
%o A005596 7350182040028082344304317087250568981603906684726306892164063898810\
%o A005596 2172488214240511648074688474732446190316098375630506508175207397645\
%o A005596 8876161134610488557710895423001568593930861519821929642278412653212\
%o A005596 5244466355213639166532148577760847770575614106561790747673010180152\
%o A005596 3834700979012941585934497045575775038261284118716994281028142115314\
%o A005596 2036264703556131331947295631469607736716406952926852216413988130891\
%o A005596 9849653905380283513984198532153783661009992969375741288698893807079\
%o A005596 2344830973486210808921921878270276889967089069326398137400176788725\
%o A005596 5208161085359328734788241648239623954848113039227397597864113180807\
%o A005596 5284312680251949287748937850433208186901363098622293262348364966537\
%o A005596 9584657923892328366673001212172126824119215427225308878008335267195\
%o A005596 1982335057403019303630767771830606746868867991878737057085632141350\
%o A005596 1889973479946121120834579501172965785460587371707657249964547353679\
%o A005596 884468141886104542087846835994670548028055671229800106121823971926; x=10*artin; 
               for (n=0, 1000, d=floor(x); x=(x-d)*10; write("b005596.txt", n, " 
               ", d)); } (End)
%Y A005596 Cf. A048296, A065414, A001913, A001122.
%Y A005596 Sequence in context: A131917 A019785 A074176 this_sequence A159566 A096385 
               A088837
%Y A005596 Adjacent sequences: A005593 A005594 A005595 this_sequence A005597 A005598 
               A005599
%K A005596 nonn,cons
%O A005596 0,1
%A A005596 N. J. A. Sloane (njas(AT)research.att.com).
%E A005596 More terms from Tom\'as Oliveira e Silva (http://www.ieeta.pt/~tos)
%E A005596 Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               May 19 2009

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