%I #26 Sep 06 2022 14:57:05
%S 4,2,0,7,4,1,3,7,3,0,7,7,4,2,9,1,6,6,9,0,3,7,5,4,4,2,2,6,9,4,2,1,4,6,
%T 4,3,4,9,1,3,1,7,6,7,8,6,3,8,2,7,9,5,1,1,6,8,8,3,6,9,1,0,9,5,2,9,9,3,
%U 2,5,7,8,3,1,7,3,3,6,9,4,4,2,3,2,2,0,1,0,0,3,2,8,7,7,3,5,6,5,4,3,8,7,4,0,5
%N Decimal expansion of Product_{m>=1} Product_{k>=1} (1 + 1/(2^m)^k).
%F Product_{m>=1} Product_{k>=1} (1 + 1/(2^m)^k).
%e 4.207413730774291669037544226942146434913176786382795116883691095299...
%t digits = 105; NProduct[NProduct[1 + (1/(2^m))^k, {k, 1, Infinity}, WorkingPrecision -> digits+5, NProductFactors -> digits], {m, 1, Infinity}, WorkingPrecision -> digits+5, NProductFactors -> digits]
%K cons,nonn
%O 1,1
%A _Wolfe Padawer_, Sep 05 2022