OFFSET
0,2
COMMENTS
Stoneham proved that this number is 2-normal. David Bailey suggests a pseudorandom number generator based on it (though similar PRNGs could be based on other Stoneham numbers).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
David H. Bailey and Richard E. Crandall, Random generators and normal numbers, Experimental Mathematics 11:4 (2004), pp. 527-546. [Alternate link]
David H. Bailey, A pseudo-random number generator based on normal numbers (2004).
R. Stoneham, On absolute (j,eps)-normality in the rational fractions with applications to normal numbers, Acta Arithmetica 22 (1973), pp. 277-286.
Eric W. Weisstein, Stoneham Number.
EXAMPLE
0.0418836808315029850712528986245716824260967584654857535182892195420500672896...
MATHEMATICA
digits = 108; s = NSum[1/(3^n*2^3^n), {n, 1, Infinity}, WorkingPrecision -> digits + 5, NSumTerms -> 6]; Join[{0}, RealDigits[s, 10, digits] // First] (* Jean-François Alcover, Mar 07 2013, updated Mar 13 2015 *)
PROG
(PARI) suminf(k=1, x=3^k; (1./x)>>x) \\ Charles R Greathouse IV, Jun 22 2011
CROSSREFS
KEYWORD
AUTHOR
Charles R Greathouse IV, Jun 22 2011
STATUS
approved