kolibrios/programs/demos/life2/lif/LOGGROW.lif

#Life 1.05
#D t log(t)
#D Population in generation t is asymptotic to  t log(t)/48.
#D More specifically, for  n >= 2,  the population in gen  60n  is
#D 
#D .                  n           n - m          n - m + 4
#D . 5747 + 247n + 5 SUM (2 floor(-----) - floor(---------)).
#D .                 m=1            4m               4m
#D 
#D Three breeders and two puffers create a sequence of large period
#D guns; the N'th gun has period 240N.  In gen t there are about
#D t/60 finished guns, which have emitted about t/(240*1) + t/(240*2)
#D + t/(240*3) + ... + t/(240*(t/60)) ~ t log(t)/240 gliders.
#D Dean Hickerson, dean@ucdmath.ucdavis.edu  11/13/90
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