"Prove or disprove that all of the lamps will eventually be switched off if and only if n is a power of two."
the original probrem wanted
"Prove that there are
(a) infinitely many n for which all the lamps will eventually be off,
(b) infinitely many n for which the lamps will never be all off."
Clearly, if you can prove what I ask for, then you can prove what the original asked for.
Posted by Bractals
on 2010-09-04 01:49:20