

A268857


The number of alive cells in Conway's Game of Life starting with the "Rpentomino" initial pattern.


2



5, 6, 7, 9, 8, 9, 12, 11, 18, 11, 11, 10, 13, 16, 19, 19, 23, 25, 35, 25, 32, 27, 37, 30, 46, 39, 45, 30, 31, 29, 27, 32, 32, 39, 34, 29, 34, 31, 34, 36, 33, 31, 29, 34, 31, 42, 37, 36, 45, 48, 64, 45, 60, 50, 67, 58, 66, 68, 72, 72, 79, 75, 80, 67, 69, 73, 65, 56, 61, 52, 53, 60
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OFFSET

0,1


COMMENTS

Population stabilizes at 116 alive cells after generation 1102.


LINKS

JeanFrançois Alcover, Table of n, a(n) for n = 0..1103
Eric Weisstein's MathWorld, Game of Life
Wikipedia, Conway's Game of Life


MATHEMATICA

(* example with a 100x100 grid *) m = 50; GameOfLife = {224, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}; grids = CellularAutomaton[ GameOfLife, SparseArray[{{m1, m} > 1, {m1, m+1} > 1, {m, m1} > 1, {m, m} > 1, {m+1, m} > 1}, {2m, 2m}], 2m]; a[n_] := grids[[n+1]] // Flatten // Total; Table[a[n], {n, 0, 2 m}]


CROSSREFS

Cf. A179409.
Sequence in context: A098670 A320021 A081407 * A205857 A196026 A191850
Adjacent sequences: A268854 A268855 A268856 * A268858 A268859 A268860


KEYWORD

nonn


AUTHOR

JeanFrançois Alcover, Feb 14 2016


STATUS

approved



