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Search: id:A048799
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| A048799 |
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Decimal expansion of first Smarandache constant. |
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+0
4
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| 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; cons; graph; listen)
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OFFSET
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1,3
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COMMENT
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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
By the time n = 100 in the Mathematica coding below, each term < 10^-143.
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
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REFERENCES
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I. Cojocaru, S. Cojocaru, First Constant of Smarandache, Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, 116-118.
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LINKS
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M. L. Perez et al., eds., Smarandache Notions Journal
Eric Weisstein's World of Mathematics, Smarandache Constants
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FORMULA
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Sum (1/S(n)!), where S(n) is the Kempner-Smarandache function A002034 and n >= 2.
Sum (A038024(n)/n!), where A038024(n) = #{k: S(k) = n} and n >= 2. - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 21 2006
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EXAMPLE
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Constant = 1.09317...
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MATHEMATICA
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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]]
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CROSSREFS
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Cf. A071120, A002034, A048834, A038024.
Cf. A048834, A071120, A048835, A048836, A048837, A048838.
Sequence in context: A093312 A085579 A081813 this_sequence A086232 A133867 A072559
Adjacent sequences: A048796 A048797 A048798 this_sequence A048800 A048801 A048802
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KEYWORD
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nonn,cons
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AUTHOR
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Charles T. Le (charlestle(AT)yahoo.com)
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com) and Don Reble (djr(AT)nk.ca), May 30 2002
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