A010136 -id:A010136 - cp's OEIS frontend

A010500 Decimal expansion of square root of 46.

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

Offset: 1

N. J. A. Sloane

Continued fraction expansion is 6 followed by {1, 3, 1, 1, 2, 6, 2, 1, 1, 3, 1, 12} repeated. - Harry J. Smith, Jun 06 2009

			6.782329983125268139064556326625969105195748323923288232750219582080728...

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

Cf. A010136 Continued fraction. - Harry J. Smith, Jun 06 2009

Digits:=100: evalf(46^(1/2)); # Wesley Ivan Hurt, Jan 20 2017

RealDigits[N[Sqrt[46],200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 24 2011 *)

{ default(realprecision, 20080); x=sqrt(46); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010500.txt", n, " ", d)); } \\ Harry J. Smith, Jun 06 2009

A190567 Continued fraction expansion of 46*sqrt(46).

Original entry on oeis.org

311, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622, 1, 76, 1, 622

Offset: 0

Bruno Berselli, May 13 2011

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
G. Xiao, Contfrac.
Index entries for continued fractions for constants.
Index entries for linear recurrences with constant coefficients, signature (0,0,0,1).

Cf. A010136; A040005, A040021, A010186, A040201, A040324, A040489, A040968.

[311] cat &cat[ [1,76,1,622]: n in [1..18] ];

I:=[311,1,76,1,622]; [n le 5 select I[n] else Self(n-4): n in [1..80]]; // Vincenzo Librandi, Jun 14 2013

ContinuedFraction[46 Sqrt[46], 80] (* or *) PadRight[{311}, 80, {622, 1, 76, 1}]
CoefficientList[Series[(311 + x + 76 x^2 + x^3 + 311 x^4) / (1 - x^4), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 14 2013 *)

a(n)=if(n,[622,1,76,1][n%4+1],311) \\ Charles R Greathouse IV, May 13 2011

G.f.:  (311+x+76*x^2+x^3+311*x^4)/(1-x^4).
a(n) = 1+3*(1+(-1)^n)*(116+91*i^n)/2 with n>0, i=sqrt(-1) and a(0)=311.
a(n) = (-1513*(n mod 4)+575*((n+1) mod 4)+125*((n+2) mod 4)+2213*((n+3) mod 4))/12  for n>0.
a(n) = a(n-4), n>=5. - Vincenzo Librandi, Jun 14 2013

cp's OEIS Frontend

A010500 Decimal expansion of square root of 46.

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