A268575 The number of alive cells in Conway's Game of Life starting with the "Die hard" initial pattern.

7, 8, 8, 11, 10, 10, 12, 12, 16, 16, 24, 18, 17, 19, 19, 25, 21, 30, 19, 21, 18, 18, 22, 20, 20, 20, 23, 20, 23, 20, 15, 23, 15, 16, 16, 15, 16, 17, 20, 18, 19, 21, 25, 27, 30, 33, 30, 36, 30, 29, 24, 22, 22, 23, 23, 37, 26, 26, 28, 31, 33, 35, 30, 30, 25, 23, 17, 15, 12, 16, 12, 14, 11, 8, 9, 10, 13, 15, 22, 13, 15, 16, 17, 17, 24, 20, 25, 21, 29, 23, 27, 28, 37, 32, 40, 22, 30, 23, 21, 21, 23, 17, 21, 17, 16, 16, 20, 15, 23, 18, 21, 20, 23, 20, 22, 13, 15, 10, 13, 9, 11, 7, 5, 7, 6, 5, 6, 5, 3, 2, 0

Offset

0,1

Comments

Population vanishes after 130 generations.

Links

Table of n, a(n) for n=0..130.

LifeWiki, Die hard

Eric Weisstein's MathWorld, Game of Life

Wikipedia, Conway's Game of Life

Mathematica

maxIter = 200; halfWidth = h = 100; GameOfLife = {224, {2, {{2, 2, 2}, {2, 1, 2}, {2, 2, 2}}}, {1, 1}}; grids = CellularAutomaton[GameOfLife, SparseArray[{{h + 3, h + 2} -> 1, {h - 3, h + 1} -> 1, {h - 2, h + 1} -> 1, {h - 2, h} -> 1, {h + 2, h} -> 1, {h + 3, h} -> 1, {h + 4, h} -> 1} ], 2h]; a[n_] := grids[[n + 1]] // Flatten // Total; Table[a[n], {n, 0, maxIter}] //. {a__, 0, 0} :> {a, 0}

Crossrefs

Cf. A179409, A268857.

Sequence in context: A226320 A021563 A333938 * A198814 A254272 A284363

Adjacent sequences: A268572 A268573 A268574 * A268576 A268577 A268578

Keyword

nonn,fini,full

Author

Jean-François Alcover, Feb 21 2016

Status

approved