[M2] (golly 2.0) #C 'Gotts Dots': sprouts its nth switchengine at t ~ 2^(24n-6) -- #C 41 ON cells, growth rate O(t ln t): Bill Gosper, 11 March 2006 #C More precisely, at t = 215643, 3662092278363, 61439713210231265883, #C ..., = 3 (4281 4096^(2 n - 1) - 211655)/241 whereat the #C populations go 316387, 5742718768151, 103173468009186875005, ..., #C = (9280232545511 2^(24 n) - 888556308770717696)/529964572999680 #C + (614 + 1427 2^(24 n - 12)/241) n. 25 Jan 2015 $$$$$$$*$ 4 0 0 1 0 5 0 0 2 0 6 0 0 3 0 7 0 0 4 0 8 0 0 5 0 *$*$ $$....*$.....*.*$......*$ $$*$$.*$.*$.*$ 4 7 0 8 9 5 10 0 0 0 6 11 0 0 0 7 12 0 0 0 $$$$$$$.*$ $......*$.......*$...*$....**$...*$.......*$......*$ ..*$..*$***$$$$***$..*$ 4 0 14 15 16 5 0 0 0 17 $$.......*$$..*$...*****$ 4 0 19 0 0 $$$*$*$*$ ..*$.*$ 4 21 22 0 0 5 20 23 0 0 6 0 18 0 24 7 25 0 0 0 8 13 26 0 0 9 0 6 0 27