OFFSET
0,1
COMMENTS
Decimal expansion of 212/495. - R. J. Mathar, Aug 25 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
Index entries for linear recurrences with constant coefficients, signature (0,1).
FORMULA
G.f.: 2*(2 + x + 2*x^2)/(1 - x^2). - Stefano Spezia, Jul 26 2025
EXAMPLE
4.472135954999579392818347337... = 4 + 1/(2 + 1/(8 + 1/(2 + 1/(8 + ...)))). - Harry J. Smith, Jun 03 2009
MAPLE
Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
MATHEMATICA
ContinuedFraction[Sqrt[20], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *)
PadRight[{4}, 120, {8, 2}] (* Harvey P. Dale, Jul 17 2023 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 26000); x=contfrac(sqrt(20)); for (n=0, 20000, write("b040015.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 03 2009
CROSSREFS
KEYWORD
nonn,cofr,easy
AUTHOR
STATUS
approved
