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A136278 Number of n X n Life configurations that are "still Life"s (unchanged in one step). 2
1, 2, 12, 83, 417, 3928, 127425, 4782725, 285886827, 29305144137, 5078448221965, 1689709601427846, 898792333612812818, 812773906928265250254, 1327574905899625395329686 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

These counts have not been reduced to take into account the symmetries of the board.

REFERENCES

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 25.

D. E. Knuth, The Art of Computer Programming, Vol. 4A, Section 7.1.4.

LINKS

Table of n, a(n) for n=1..15.

EXAMPLE

The 83 still lifes for n=4 have well-known names, explained in the book by Berlekamp et al.: 9 are blocks, 12 are snakes, 4 are tubs, 16 are boats, 8 are ships, 8 are aircraft carriers, 4 are beehives, 8 are eaters, 4 are loaves, 2 are barges, 4 are longboats, 2 are long barges, 1 is the pond and the other one is empty.

CROSSREFS

Cf. A134963, A136279, A136280.

Sequence in context: A199420 A235348 A052864 * A130464 A214765 A006657

Adjacent sequences:  A136275 A136276 A136277 * A136279 A136280 A136281

KEYWORD

nonn

AUTHOR

Don Knuth, Mar 26 2008

EXTENSIONS

a(1) and a(7) corrected and a(11)-(15) added by Tomas Rokicki, Oct 29 2010

STATUS

approved

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Last modified September 20 18:26 EDT 2018. Contains 315240 sequences. (Running on oeis4.)