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Gunnar_Zarncke comments on Harry Potter and the Methods of Rationality discussion thread, March 2015, chapter 116 - Less Wrong Discussion
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For all practical uses x'=(x*8+1) mod 49 is a simple PRNG that can be executed mentally easily. If you seed it with the next best number you see it gives suitably random numbers for every-day purposes (and when no dice are available). Note that this is taken from TAoCP by Knuth. I use it for fair choices and mental story telling.