A010471 -id:A010471 - cp's OEIS frontend

A017946 Powers of sqrt(14) rounded down.

1, 3, 14, 52, 196, 733, 2744, 10267, 38416, 143739, 537824, 2012353, 7529536, 28172943, 105413504, 394421215, 1475789056, 5521897022, 20661046784, 77306558317, 289254654976, 1082291816449, 4049565169664

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..800

Cf. A010471 (sqrt(14)).

[Floor(Sqrt(14^n)): n in [0..30]]; // Vincenzo Librandi, Jun 24 2011

Floor[(Sqrt[14])^Range[0,30]] (* Harvey P. Dale, Feb 14 2018 *)

a(n)=sqrtint(14^n) \\ Charles R Greathouse IV, Nov 18 2011

a(n) = floor(sqrt(14^n)). - Vincenzo Librandi, Jun 24 2011

A020771 Decimal expansion of 1/sqrt(14).

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

1/sqrt(14) = 0.267261241912424384684553480879753521554001414841337639021696104808573939736... [Vladimir Joseph Stephan Orlovsky, May 30 2010]

Ivan Panchenko, Table of n, a(n) for n = 0..1000

RealDigits[N[1/Sqrt[14],200]] (* Vladimir Joseph Stephan Orlovsky, May 30 2010 *)

Equals 1/A010471 = A010503 * A020764. - R. J. Mathar, Nov 19 2024

A171545 Decimal expansion of sqrt(2/7).

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Dec 11 2009

The absolute value of the Clebsch-Gordan coupling coefficient = <2 3/2 ; 0 -3/2 | 7/2 -3/2>.

			sqrt(2/7) = sqrt(14)/7 = 0.53452248382484876936910696175950...

G. C. Greubel, Table of n, a(n) for n = 0..10000
Wikipedia, Table of Clebsch-Gordan coefficients

SetDefaultRealField(RealField(100)); Sqrt(2/7); // G. C. Greubel, Oct 02 2018

RealDigits[N[Sqrt[2/7],200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Mar 04 2011*)

default(realprecision, 100); sqrt(2/7) \\ G. C. Greubel, Oct 02 2018

Equals A002193/A010465 = 2/A010471 = A010467/A010490.

A171547 Decimal expansion of sqrt(3/14).

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Dec 11 2009

The absolute value of the Clebsch-Gordan coupling coefficient = <2 2 ; -2 0 | 4 -2>.

			sqrt(3/14) = sqrt(42)/14 = 0.462910049886275730783283388291999761264...

Daniel Starodubtsev, Table of n, a(n) for n = 0..9998
Wikipedia, Table of Clebsch-Gordan coefficients

Cf. A002194, A010471, A115754, A010465, A171537, A002193.

RealDigits[Sqrt[3/14],10,120][[1]] (* Harvey P. Dale, Sep 23 2011 *)

Equals A002194/A010471 = A115754/A010465 = A171537/A002193.

A176436 Decimal expansion of (7+2*sqrt(14))/2.

Original entry on oeis.org

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

Offset: 1

Klaus Brockhaus, Apr 19 2010

Continued fraction expansion of (7+2*sqrt(14))/2 is A010712 preceded by 7.

			(7+2*sqrt(14))/2 = 7.24165738677394138558...

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Cf. A010471 (decimal expansion of sqrt(14)), A010712 (repeat 4, 7).

A171540 Decimal expansion of sqrt(5/14).

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Dec 11 2009

The absolute value of the Clebsch-Gordan coupling coefficient = <2 3/2 ; -1 1/2 | 5/2 -1/2>.

			sqrt(5/14) = sqrt(70)/14 = 0.597614304667196819984408589846...

Wikipedia, Table of Clebsch-Gordan coefficients

RealDigits[Sqrt[5/14],10,120][[1]] (* Harvey P. Dale, Oct 19 2012 *)

equals A002163/A010471 = A010467/A010483.

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A017946 Powers of sqrt(14) rounded down.

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A020771 Decimal expansion of 1/sqrt(14).

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A171545 Decimal expansion of sqrt(2/7).

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A171547 Decimal expansion of sqrt(3/14).

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A176436 Decimal expansion of (7+2*sqrt(14))/2.

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A171540 Decimal expansion of sqrt(5/14).

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