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A071120
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Decimal expansion of first Smarandache constant (version 2).
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1
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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; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
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REFERENCES
| 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
| M. L. Perez et al., eds., Smarandache Notions Journal
Eric Weisstein's World of Mathematics, Smarandache Constants
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FORMULA
| Sum (1/S(n)!), where S(n) is the Kempner-Smarandache function A002034 and n >= 1.
Sum (A038024(n)/n!), where A038024(n) = #{k: S(k) = n} and n >= 1. - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 21 2006
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EXAMPLE
| Constant = 2.09317...
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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]]
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CROSSREFS
| Cf. A048799, A002034, A048834, A038024.
Sequence in context: A021482 A199287 A198735 * A189963 A156649 A197330
Adjacent sequences: A071117 A071118 A071119 * A071121 A071122 A071123
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KEYWORD
| nonn,cons
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AUTHOR
| Charles T. Le (charlestle(AT)yahoo.com)
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EXTENSIONS
| Edited by Robert G. Wilson v (rgwv(AT)rgwv.com) and Don Reble (djr(AT)nk.ca), May 30 2002
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