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A048799 Decimal expansion of first Smarandache constant. 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 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

REFERENCES

I. Cojocaru, S. Cojocaru, First Constant of Smarandache, Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, 116-118.

LINKS

Table of n, a(n) for n=1..99.

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 * A188887 A199152 A086232

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 (djr(AT)nk.ca), May 30 2002

STATUS

approved

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Last modified April 21 06:46 EDT 2014. Contains 240824 sequences.