The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A210463 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A210463

Decimal expansion of the absolute value of the imaginary part of the two complex roots of x^3-x^2+1.
(history; published version)

#19 by Charles R Greathouse IV at Mon Aug 21 11:40:11 EDT 2023

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#18 by Charles R Greathouse IV at Mon Aug 21 11:39:35 EDT 2023

LINKS

<a href="/index/Al#algebraic_06">Index entries for algebraic numbers, degree 6</a>

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#17 by Charles R Greathouse IV at Wed Nov 12 10:13:25 EST 2014

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#16 by Charles R Greathouse IV at Wed Nov 12 10:13:07 EST 2014

COMMENTS

The denominator of this algebraic number is 2, since its double is an algebraic integer. - Charles R Greathouse IV, Nov 12 2014

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#15 by Charles R Greathouse IV at Mon Apr 14 16:28:09 EDT 2014

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#14 by Charles R Greathouse IV at Mon Apr 14 16:28:07 EDT 2014

COMMENTS

An algebraic number of degree 6. - Charles R Greathouse IV, Apr 14 2014

PROG

(PARI) polrootsreal(64*x^6+32*x^4+4*x^2-23)[2] \\ Charles R Greathouse IV, Apr 14 2014

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#13 by Bruno Berselli at Wed Feb 20 05:09:53 EST 2013

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proposed

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#12 by Jean-François Alcover at Wed Feb 20 04:18:49 EST 2013

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proposed

#11 by Jean-François Alcover at Wed Feb 20 04:18:41 EST 2013

MATHEMATICA

-((2^(1/3)*(25 - 3*Sqrt[69])^(2/3) - 2)/(2*2^(2/3)*Sqrt[3]*(25 - 3*Sqrt[69])^(1/3))) // RealDigits[#, 10, 125]& // First (* Jean-François Alcover, Feb 20 2013 *)

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#10 by R. J. Mathar at Tue Jan 22 05:03:27 EST 2013

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approved