OFFSET
0,1
COMMENTS
Decimal expansion of 2106562/4999995. - Elmo R. Oliveira, Oct 14 2025
REFERENCES
Harold Davenport, The Higher Arithmetic, Cambridge University Press, 8th ed., 2008, p. 97.
James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge University Press, 1999, page 276.
LINKS
Harry J. Smith, Table of n, a(n) for n = 0..20000
G. Xiao, Contfrac.
A. J. van der Poorten, An introduction to continued fractions, Unpublished.
A. J. van der Poorten, An introduction to continued fractions, Unpublished [Cached copy]
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).
FORMULA
G.f.: (4 + 2*x + x^2 + 3*x^3 + x^4 + 2*x^5 + 4*x^6)/(1 - x^6). - Stefano Spezia, Jul 26 2025
EXAMPLE
4.358898943540673552236981983... = 4 + 1/(2 + 1/(1 + 1/(3 + 1/(1 + ...)))). - Harry J. Smith, Jun 03 2009
MATHEMATICA
ContinuedFraction[Sqrt[19], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(19)); for (n=0, 20000, write("b010124.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 03 2009
CROSSREFS
KEYWORD
nonn,cofr,easy
AUTHOR
STATUS
approved