A336784 Number of steps in Conway's Game of Life for a block and row of n cells to stabilize.

0, 1, 2, 551, 4, 74, 77, 38, 15, 16, 16, 15, 1185, 41, 17, 84, 273, 21, 25, 20, 1342, 164, 19, 51, 66, 55, 62, 65, 78, 93, 34, 79, 141, 105, 56, 133, 357, 2621, 100, 119, 799, 278, 149, 305, 305, 126, 99, 227, 387, 272, 274, 465, 714, 580, 689, 172, 282, 2163

Offset

0,3

Links

Table of n, a(n) for n=0..57.

Wikipedia, Conway's Game of Life.

Wikipedia, Methuselah (cellular automaton).

Example

As a block by itself is stable, a(0)=0.
. . . .
. o o .
. o o .
. . . .
A block with a single square adjacent will turn into a boat on the next tick, which is stable.
. . . . .|. . . . .
. o o . .|. o o . .
. o o . .|. o . o .
. . . o .|. . o . .
. . . . .|. . . . .
A block with a row of two squares will take two generations to turn into a boat.
. . . . . .|. . . . .|. . . . .
. o o . . .|. o o . .|. o o . .
. o o . . .|. o . . .|. o . o .
. . . o o .|. . o o .|. . o . .
. . . . . .|. . . . .|. . . . .
A block with a row of three squares is known as a methuselah (see Wikipedia link), taking 551 generations to stabilize. The final configuration has two escaped gliders, one blinker, eight blocks, two boats, one ship, two beehives, one loaf, and one fleet. Only the initial configuration is shown below.
. . . . . . .
. o o . . . .
. o o . . . .
. . . o o o .
. . . . . . .

Crossrefs

Sequence in context: A348174 A348003 A058429 * A201247 A265633 A117509

Adjacent sequences: A336781 A336782 A336783 * A336785 A336786 A336787

Keyword

nonn

Author

William C. Laursen, Aug 04 2020

Status

approved