A040604 Continued fraction for sqrt(630).

25, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• easy

Links

• Index entries for continued fractions for constants
• Index entries for linear recurrences with constant coefficients, signature (0, 1).

Crossrefs

Cf. A040024.

Programs

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(630)),confrac);

Mathematica

Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[630],100]] (* or *) PadRight[{25},100,{50,10}] (* Harvey P. Dale, May 20 2018 *)

Formula

G.f.: 5*(5 + 2*x + 5*x^2)/(1 - x^2). - Stefano Spezia, Dec 22 2021

a(n) = 5 * A040024(n). - Alois P. Heinz, Dec 22 2021