%I #15 May 13 2024 11:29:07

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

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

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

%N Decimal expansion of sqrt(e^2 + e^2): hypotenuse in the right triangle with legs e and e.

%H Ivan Panchenko, <a href="/A105722/b105722.txt">Table of n, a(n) for n = 1..1000</a>

%F sqrt(2)*e = 3.84423102815911682...

%F Equals Product_{k>=0} ((k + 3)/(k + 2))^(k + 1/2)*((k + 1)/(k + 2))^(k - 1/2). - _Antonio Graciá Llorente_, May 13 2024

%t RealDigits[Sqrt[2]E,10,120][[1]] (* _Harvey P. Dale_, Jul 13 2013 *)

%K cons,nonn

%O 1,1

%A _Zak Seidov_, May 04 2005