A268857 The number of alive cells in Conway's Game of Life starting with the "R-pentomino" initial pattern.

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

Offset: 0

Author

Jean-François Alcover, Feb 14 2016

Keywords

• nonn

Comments

Population stabilizes at 116 alive cells after generation 1102.

Links

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

Crossrefs

Cf. A179409.

Programs

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[{{m-1, m} -> 1, {m-1, m+1} -> 1, {m, m-1} -> 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}]