|
|
A048799
|
|
Decimal expansion of Sum_{n >= 2} 1/S(n)!, where S(n) is the Kempner number A002034(n).
|
|
4
|
|
|
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.
|
|
REFERENCES
|
I. Cojocaru, S. Cojocaru, First Constant of Smarandache, Smarandache Notions Journal, Vol. 7, No. 1-2-3, 1996, 116-118.
|
|
LINKS
|
|
|
FORMULA
|
Sum (1/S(n)!), where S(n) is the Kempner function A002034 and n >= 2.
|
|
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
|
|
|
KEYWORD
|
|
|
AUTHOR
|
Charles T. Le (charlestle(AT)yahoo.com)
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|