A318858 Number of still-lifes synthesizable from n gliders in Conway's game of Life.

0, 6, 11, 111, 114, 217

Offset: 1

Author

Ed Pegg Jr, Sep 04 2018

Keywords

• nonn
• hard
• more

Comments

No stable form can be produced by a single glider (on an infinite or toroidal board), thus a(1) = 0.

Block, boat, beehive, loaf, eater, and pond are the six still-life forms that can be made from 2 gliders.

Tub, Ship, Barge, Long boat, Mango, Long barge, Very long boat, Hat, Half bakery, Paperclip, and Bi-pond can be made from 3 gliders.

Most of the terms in this sequence are conjectural and will likely increase over time. - Nathaniel Johnston, Dec 03 2019

Links

• Mark Niemiec, Life Objects Sorted by Cost in Gliders.
• Wikipedia, Glider (Conway's Life), Still life (cellular automaton)
• Index entries for sequences related to cellular automata

Crossrefs

Cf. A019473, A056614.