The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A192918

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A192918

Decimal expansion of the real root of r^3 + r^2 + r - 1.
(history; published version)

#57 by Vaclav Kotesovec at Sun Oct 06 08:32:57 EDT 2024

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editing

approved

#56 by Vaclav Kotesovec at Sun Oct 06 08:32:52 EDT 2024

CROSSREFS

Cf. A376841.

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approved

editing

#55 by Charles R Greathouse IV at Mon Aug 21 10:15:44 EDT 2023

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#54 by Charles R Greathouse IV at Mon Aug 21 10:15:42 EDT 2023

LINKS

<a href="/index/Al#algebraic_03">Index entries for algebraic numbers, degree 3</a>

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editing

#53 by Alois P. Heinz at Thu Jul 13 08:11:45 EDT 2023

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proposed

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#52 by Joerg Arndt at Thu Jul 13 07:31:50 EDT 2023

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proposed

#51 by Joerg Arndt at Thu Jul 13 07:31:41 EDT 2023

FORMULA

r = Equals (1/3)*(-1-2/(17+3*sqrt(33))^(1/3) + (17+3*sqrt(33))^(1/3)).

r = Equals (1/3)*(u_p^(1/3) + u_m^(1/3)*e_m - 1), with u_p = 17 + 3*sqrt(33), u_m = 17 - 3*sqrt(33), and e_m = -(1 - sqrt(3)*i), with i = sqrt(-1). - Wolfdieter Lang, Aug 22 2022

r = Equals hypergeom([1/4,1/2,3/4],[2/3,4/3],16/27)/2. - Gerry Martens, Jul 13 2023

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#50 by Gerry Martens at Thu Jul 13 07:26:43 EDT 2023

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#49 by Gerry Martens at Thu Jul 13 07:26:04 EDT 2023

FORMULA

r = hypergeom([1/4,1/2,3/4],[2/3,4/3],16/27)/2. - Gerry Martens, Jul 13 2023

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approved

editing

#48 by Joerg Arndt at Sun Jul 02 02:01:15 EDT 2023

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reviewed

approved