A178310 -id:A178310 - cp's OEIS frontend

A178309 Decimal expansion of sqrt(25277).

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

Offset: 3

Klaus Brockhaus, May 24 2010

Continued fraction expansion of sqrt(25277) is 158 followed by (repeat 1, 78, 2, 78, 1, 316).

sqrt(25277) = sqrt(7)*sqrt(23)*sqrt(157).

			sqrt(25277) = 158.98742088605626537906...

Daniel Starodubtsev, Table of n, a(n) for n = 3..10000

Cf. A010465 (decimal expansion of sqrt(7)), A010479 (decimal expansion of sqrt(23)), A178310 (decimal expansion of sqrt(157)), A178308 (decimal expansion of (111+sqrt(25277))/158).

RealDigits[Sqrt[25277],10,120][[1]] (* Harvey P. Dale, Oct 12 2011 *)

A010206 Continued fraction for sqrt(157).

Original entry on oeis.org

12, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1, 2, 5, 1, 7, 1, 1, 24, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1, 2, 5, 1, 7, 1, 1, 24, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1, 2, 5, 1, 7, 1, 1, 24, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1, 2, 5, 1, 7, 1, 1, 24, 1, 1, 7, 1, 5, 2, 1, 1, 1, 1

Offset: 0

N. J. A. Sloane

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

Cf. A041288/A041289 (convergents), A178310 (decimal expansion).

Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):

ContinuedFraction[Sqrt[157],300] (* Vladimir Joseph Stephan Orlovsky, Mar 23 2011 *)
PadRight[{12},120,{24,1,1,7,1,5,2,1,1,1,1,2,5,1,7,1,1}] (* Harvey P. Dale, Jun 06 2021 *)

cp's OEIS Frontend

A178309 Decimal expansion of sqrt(25277).

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