Search: id:A048799
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%I A048799
%S A048799 1,0,9,3,1,7,0,4,5,9,1,9,5,4,9,0,8,9,3,9,6,8,2,0,1,3,7,0,1,4,5,2,0,
%T A048799 8,3,2,5,6,8,9,5,9,2,1,6,7,8,9,1,1,5,4,5,1,9,0,6,9,1,9,6,7,2,1,5,1,
%U A048799 8,1,8,7,0,3,3,4,9,9,8,3,3,5,9,6,0,4,7,6,7,5,2,0,9,4,4,4,5,2,4,0,4
%N A048799 Decimal expansion of first Smarandache constant.
%C A048799 Computed using suggestions from David W. Wilson (davidwwilson(AT)comcast.net) 
               posted to Sequence Fans mailing list (seqfan(AT)ext.jussieu.fr), 
               May 30 2002
%C A048799 By the time n = 100 in the Mathematica coding below, each term < 10^-143.
%C A048799 I conjecture that the Smarandache constants defined in the present sequence, 
               A048834, A071120, A048835, A048836, A048837, A048838 are irrational. 
               - Sukanto Bhattacharya (susant5au(AT)yahoo.com.au), Apr 28 2008
%D A048799 I. Cojocaru, S. Cojocaru, First Constant of Smarandache, Smarandache 
               Notions Journal, Vol. 7, No. 1-2-3, 1996, 116-118.
%H A048799 M. L. Perez et al., eds., <a href="http://www.gallup.unm.edu/~smarandache/
               ">Smarandache Notions Journal</a>
%H A048799 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SmarandacheConstants.html">Smarandache Constants</a>
%F A048799 Sum (1/S(n)!), where S(n) is the Kempner-Smarandache function A002034 
               and n >= 2.
%F A048799 Sum (A038024(n)/n!), where A038024(n) = #{k: S(k) = n} and n >= 2. - 
               Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 21 2006
%e A048799 Constant = 1.09317...
%t A048799 f[n_] := DivisorSigma[0, n! ]; s = 1; Do[s = N[s + (f[n + 1] - f[n])/
               (n + 1)!, 100], {n, 1, 10^4}]; RealDigits[s][[1]]
%Y A048799 Cf. A071120, A002034, A048834, A038024.
%Y A048799 Cf. A048834, A071120, A048835, A048836, A048837, A048838.
%Y A048799 Sequence in context: A154489 A085579 A081813 this_sequence A086232 A133867 
               A072559
%Y A048799 Adjacent sequences: A048796 A048797 A048798 this_sequence A048800 A048801 
               A048802
%K A048799 nonn,cons
%O A048799 1,3
%A A048799 Charles T. Le (charlestle(AT)yahoo.com)
%E A048799 Edited by Robert G. Wilson v (rgwv(AT)rgwv.com) and Don Reble (djr(AT)nk.ca), 
               May 30 2002

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