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A323098 Decimal expansion of edge length of a regular pentagon with area 1. 0

%I #14 Nov 11 2019 22:16:12

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

%T 2,6,0,9,6,3,2,1,4,2,1,2,8,0,9,2,8,2,7,9,8,6,9,1,4,9,8,4,9,6,3,4,6,9,

%U 4,8,3,7,5,1,0,8,7,0,7,2,1,3,2,8,9,4,8

%N Decimal expansion of edge length of a regular pentagon with area 1.

%F Equals sqrt(1/A102771) = 2/(25 + 10*sqrt(5))^(1/4).

%e 0.7623870555067738744984026821...

%t RealDigits[(2)/(25 + 10*Sqrt[5])^(1/4), 10, 100][[1]] (* _Metin Sariyar_, Oct 26 2019 *)

%o (PARI) default(realprecision, 110); 2/(25 + 10*sqrt(5))^(1/4)

%Y Cf. A102771, A154605 (the edge length of an equilateral triangle).

%K cons,nonn

%O 0,1

%A _Jinyuan Wang_, Oct 26 2019

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