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 A048799 Decimal expansion of Sum_{n >= 2} 1/S(n)!, where S(n) is the Kempner number A002034(n). 3
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Computed using suggestions from David W. Wilson posted to Sequence Fans mailing list (seqfan(AT)ext.jussieu.fr), May 30 2002 By the time n = 100 in the Mathematica coding below, each term < 10^-143. I conjecture that the constants defined in the present sequence, A048834, A071120, A048835, A048836, A048837, A048838 are irrational. - Sukanto Bhattacharya (susant5au(AT)yahoo.com.au), Apr 28 2008 REFERENCES I. Cojocaru, S. Cojocaru, First Constant of Smarandache, Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, 116-118. LINKS Eric Weisstein's World of Mathematics, Smarandache Constants FORMULA Sum (1/S(n)!), where S(n) is the Kempner function A002034 and n >= 2. Sum (A038024(n)/n!), where A038024(n) = #{k: S(k) = n} and n >= 2. - Jonathan Sondow, Aug 21 2006 EXAMPLE 1.09317... MATHEMATICA 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]] CROSSREFS Cf. A071120, A002034, A048834, A038024, A048834, A071120, A048835, A048836, A048837, A048838. Sequence in context: A085579 A081813 A197003 * A309893 A188887 A250091 Adjacent sequences:  A048796 A048797 A048798 * A048800 A048801 A048802 KEYWORD nonn,cons AUTHOR Charles T. Le (charlestle(AT)yahoo.com) EXTENSIONS Edited by Robert G. Wilson v and Don Reble, May 30 2002 STATUS approved

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Last modified April 20 05:31 EDT 2021. Contains 343121 sequences. (Running on oeis4.)