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Decimal expansion of sqrt(26)/2.
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%I #11 May 22 2024 04:05:58

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

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

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

%N Decimal expansion of sqrt(26)/2.

%C sqrt(26)/2 is the area of a triangle of sides sqrt(5), sqrt(6) and sqrt(7), which is the smallest triangle whose sides are of the form sqrt(k), sqrt(k + 1) and sqrt(k + 2) and are all irrational numbers, where k is a positive integer.

%F Equals sqrt(13/2).

%e 2.54950975679639241501411...

%t RealDigits[Sqrt[26]/2, 10, 200][[1]]

%Y Cf. A010481.

%K nonn,cons,easy

%O 1,1

%A _Gonzalo Martínez_, May 20 2024