[math-fun] Moderately high precision fraud

Gamma[1/4] == 2^(7/8) Sqrt[ 5] (1 + 5^(1/4)) (E^(-845 \[Pi]/6) + E^(-605 \[Pi]/6) - E^(-245 \[Pi]/6) - E^(-125 \[Pi]/6) + E^(-5 \[Pi]/6)) GoldenRatio^(3/2) \[Pi]^(3/4) N[%, 239] Out[371]= True But when I try to switch to factorial notation, Mathematica catches on! In[377]:= %370/4 /. Gamma@z_ :> z!/z Out[377]= False —rwg