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 A071120 Decimal expansion of Sum_{n >= 1} 1/S(n)!, where S(n) is the Kempner number A002034. 1
 2, 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 1,1 COMMENTS Computed using suggestions from David W. Wilson posted to Sequence Fans mailing list (seqfan(AT)ext.jussieu.fr), May 30 2002 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 >= 1. Sum (A038024(n)/n!), where A038024(n) = #{k: S(k) = n} and n >= 1. - Jonathan Sondow, Aug 21 2006 EXAMPLE Constant = 2.09317... 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. A048799, A002034, A048834, A038024. Sequence in context: A021482 A199287 A198735 * A249417 A189963 A156649 Adjacent sequences:  A071117 A071118 A071119 * A071121 A071122 A071123 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 February 24 22:57 EST 2020. Contains 332216 sequences. (Running on oeis4.)