A010140 -id:A010140 - cp's OEIS frontend

A010507 Decimal expansion of square root of 54.

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

Offset: 1

N. J. A. Sloane

Continued fraction expansion is 7 followed by {2, 1, 6, 1, 2, 14} repeated. - Harry J. Smith, Jun 06 2009

Surface area to volume ratio of an octahedron with unit side length. - Wesley Ivan Hurt, May 02 2021

			7.348469228349534294591852224117674175897842441970010385298077701752881...

Harry J. Smith, Table of n, a(n) for n = 1..20000
Wikipedia, Surface-area-to-volume ratio
Index entries for algebraic numbers, degree 2.

Cf. A010140 (continued fraction).

RealDigits[N[Sqrt[54],200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 24 2011 *)

{ default(realprecision, 20080); x=sqrt(54); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010507.txt", n, " ", d)); } \\ Harry J. Smith, Jun 06 2009

A064851 Period of continued fraction for sqrt(6)*n.

Original entry on oeis.org

2, 2, 6, 4, 2, 6, 6, 8, 2, 2, 4, 12, 16, 6, 12, 12, 22, 2, 18, 2, 24, 4, 20, 20, 18, 12, 10, 8, 22, 8, 26, 32, 4, 14, 8, 8, 40, 10, 40, 4, 34, 16, 38, 8, 8, 16, 40, 44, 2, 14, 10, 24, 50, 10, 12, 4, 18, 22, 22, 8, 56, 26, 20, 60, 32, 4, 58, 24, 60, 4, 68, 20, 34, 40, 58, 24, 28, 44

Offset: 1

R. K. Guy, Oct 26 2001

nonn

			A040003 (cfrac for n=1) has period length 2, so a(1)=2. A040019 (cfrac for n=2) has period length 2, so a(2)=2. A010140 (cfrac for n=3) has period length 6, so a(3)=6. - _R. J. Mathar_, Feb 10 2016

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A010507 Decimal expansion of square root of 54.

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A064851 Period of continued fraction for sqrt(6)*n.

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