A040024 -id:A040024 - cp's OEIS frontend

A010485 Decimal expansion of square root of 30.

5, 4, 7, 7, 2, 2, 5, 5, 7, 5, 0, 5, 1, 6, 6, 1, 1, 3, 4, 5, 6, 9, 6, 9, 7, 8, 2, 8, 0, 0, 8, 0, 2, 1, 3, 3, 9, 5, 2, 7, 4, 4, 6, 9, 4, 9, 9, 7, 9, 8, 3, 2, 5, 4, 2, 2, 6, 8, 9, 4, 4, 4, 9, 7, 3, 2, 4, 9, 3, 2, 7, 7, 1, 2, 2, 7, 2, 2, 7, 3, 3, 8, 0, 0, 8, 5, 8, 4, 3, 6, 1, 6, 3, 8, 7, 0, 6, 2, 5

Offset: 1

N. J. A. Sloane

Continued fraction expansion is 5 followed by {2, 10} repeated. - Harry J. Smith, Jun 04 2009

			5.477225575051661134569697828008021339527446949979832542268944....

Harry J. Smith, Table of n, a(n) for n = 1..20000
Index entries for algebraic numbers, degree 2

Cf. A040024, continued fraction. - Harry J. Smith, Jun 04 2009

RealDigits[N[Sqrt[30], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 22 2011 *)

default(realprecision, 20080); x=sqrt(30); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010485.txt", n, " ", d));  \\ Harry J. Smith, Jun 04 2009

Equals A010464*A002163 = 1/A020787. - R. J. Mathar, Dec 17 2024

A041049 Denominators of continued fraction convergents to sqrt(30).

Original entry on oeis.org

1, 2, 21, 44, 461, 966, 10121, 21208, 222201, 465610, 4878301, 10222212, 107100421, 224423054, 2351330961, 4927084976, 51622180721, 108171446418, 1133336644901, 2374844736220, 24881784007101

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,22,0,-1).

Cf. A010485, A040024, A041048 (numerators).

Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[30], n]]],{n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011 *)
Denominator[Convergents[Sqrt[30], 20]] (* Vincenzo Librandi, Oct 23 2013 *)

G.f.: (1+2*x-x^2)/(1-22*x^2+x^4). [Colin Barker, Jan 02 2012]

A040604 Continued fraction for sqrt(630).

Original entry on oeis.org

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

N. J. A. Sloane

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

Cf. A040024.

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

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

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

cp's OEIS Frontend

A010485 Decimal expansion of square root of 30.

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A041049 Denominators of continued fraction convergents to sqrt(30).

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A040604 Continued fraction for sqrt(630).

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