A010490 -id:A010490 - cp's OEIS frontend

A171539 Decimal expansion of sqrt(6/35).

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

Offset: 0

R. J. Mathar, Dec 11 2009

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

			sqrt(6/35) = sqrt(210)/35 = 0.414039335605412530677676118776...

Wikipedia, Table of Clebsch-Gordan coefficients

RealDigits[Sqrt[6/35],10,120][[1]] (* Harvey P. Dale, Jun 09 2023 *)

equals A010464/A010490 = A010494*A171537/10.

A171546 Decimal expansion of sqrt(3/35).

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Dec 11 2009

The absolute value of the Clebsch-Gordan coupling coefficient = <2 3/2 ; 0 -1/2 | 5/2 -1/2>.

			sqrt(3/35) = sqrt(105)/35 = 0.2927700218845599538063153..

Wikipedia, Table of Clebsch-Gordan coefficients

RealDigits[Sqrt[3/35],10,120][[1]]  (* Harvey P. Dale, Apr 20 2011 *)

equals A002194/A010490 = A171537/A002163 = A171539/A002193.

A176052 Decimal expansion of (5+sqrt(35))/5.

Original entry on oeis.org

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

Offset: 1

Klaus Brockhaus, Apr 07 2010

Continued fraction expansion of (5+sqrt(35))/5 is A010695.

			(5+sqrt(35))/5 = 2.18321595661992320851...

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

Cf. A010490 (decimal expansion of sqrt(35)), A010695 (repeat 2, 5).

A177957 Decimal expansion of (12+3*sqrt(35))/19.

Original entry on oeis.org

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

Offset: 1

Klaus Brockhaus, May 16 2010

Continued fraction expansion of (12+3*sqrt(35))/19 is A130974.

			(12+3*sqrt(35))/19 = 1.56569680785783411198...

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

Cf. A010490 (decimal expansion of sqrt(35)), A130974 (repeat 1, 1, 1, 3, 3, 3).

RealDigits[(12+3Sqrt[35])/19,10,120][[1]] (* Harvey P. Dale, Jul 25 2024 *)

A171541 Decimal expansion of 2*sqrt(3/35).

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Dec 11 2009

The absolute value of the Clebsch-Gordan coupling coefficient = <2 3/2 ; -1 1/2 | 7/2 -1/2>.

			sqrt(12/35) = 2*sqrt(105)/35 = 0.5855400437691199076126307817440601137562...

Daniel Starodubtsev, Table of n, a(n) for n = 0..10000
Wikipedia, Table of Clebsch-Gordan coefficients

Cf. A010469, A010490, A171546.

RealDigits[2*Sqrt[3/35],10,120][[1]] (* Harvey P. Dale, Feb 29 2012 *)

Equals 2*A171546 = A010469/A010490.

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.

A171548 Decimal expansion of 2*sqrt(2/35).

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Dec 11 2009

The absolute value of the Clebsch-Gordan coupling coefficient < j1 j2; m1 m2 | J M > = < 2 2; -1 1 | 4 0 >.

			Sqrt(8/35) = 2*sqrt(70)/35 = 0.478091443733757455987526871877249993..

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

Cf. A010465, A010466, A010490, A171543.

SetDefaultRealField(RealField(100)); 2*Sqrt(2/35); // G. C. Greubel, Oct 02 2018

RealDigits[2*Sqrt[2/35], 10, 100][[1]] (* G. C. Greubel, Oct 02 2018 *)

2*sqrt(2/35) \\ Michel Marcus, Dec 23 2015

Equals A010466/A010490 = A171543*A010465.

A176317 Decimal expansion of (5+sqrt(35))/2.

Original entry on oeis.org

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

Offset: 1

Klaus Brockhaus, Apr 15 2010

Continued fraction expansion of (5+sqrt(35))/2 is A010695.

			(5+sqrt(35))/2 = 5.45803989154980802128...

G. C. Greubel, Table of n, a(n) for n = 1..1000

Cf. A010490 (decimal expansion of sqrt(35)), A010695 (repeat 5, 2).

SetDefaultRealField(RealField(120)); (5 + Sqrt(35))/2; // G. C. Greubel, Nov 26 2019

evalf( (5 + sqrt(35))/2, 120); # G. C. Greubel, Nov 26 2019

RealDigits[(5+Sqrt[35])/2,10,120][[1]] (* Harvey P. Dale, Sep 21 2012 *)

default(realprecision, 120); (5 + sqrt(35))/2 \\ G. C. Greubel, Nov 26 2019

numerical_approx((5 + sqrt(35))/2, digits=120) # G. C. Greubel, Nov 26 2019

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A171539 Decimal expansion of sqrt(6/35).

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A171546 Decimal expansion of sqrt(3/35).

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A176052 Decimal expansion of (5+sqrt(35))/5.

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A177957 Decimal expansion of (12+3*sqrt(35))/19.

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A171541 Decimal expansion of 2*sqrt(3/35).

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A171545 Decimal expansion of sqrt(2/7).

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A171548 Decimal expansion of 2*sqrt(2/35).

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A176317 Decimal expansion of (5+sqrt(35))/2.

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