%I A126803
%S A126803 8,10,11,14,18,20,31,48,50,81,83,87,88,101,118,122,127,144,148,155,157,
%T A126803 161,174,181,188,191,199,202,205,206,208,218,221,222,228,245,247,248,
%U A126803 274,278,284,285,295,302,304,305,308,309,312,313,315,323,327,331,342
%N A126803 Integers which die when submitted to the rules of the Game of Life. Design
of the digits is shown below.
%C A126803 Here's the font that's used; a single empty column is used between adjacent
digits. The same digit design was selected 39 years ago by Jonathan
Vos Post.
%C A126803 ooo.o.ooo.ooo.o.o.ooo.ooo.ooo.ooo.ooo
%C A126803 o.o.o...o...o.o.o.o...o.....o.o.o.o.o
%C A126803 o.o.o.ooo.ooo.ooo.ooo.ooo...o.ooo.ooo
%C A126803 o.o.o.o.....o...o...o.o.o...o.o.o...o
%C A126803 ooo.o.ooo.ooo...o.ooo.ooo...o.ooo.ooo
%C A126803 The sequence is infinite; e.g. any number whose decimal expansion begins
and ends with 14 and contains only the digits 1, 4 and 8 dies in
9 generations. It has density zero, because any number containing
the digit string 14405930 emits a lightweight spaceship which can't
be stopped by whatever the rest of the number produces.
%H A126803 Eric Angelini and Dean Hickerson (eric.angelini(AT)kntv.be), Feb 22 2007,
<a href="b126803.txt">Table of n, a(n) for n = 1..111</a>
%H A126803 Eric Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/
GOLife.htm">Game of Life Integers</a>.
%H A126803 Dean Hickerson, <a href="http://www.math.ucdavis.edu/~dean/RLE/digits.html">
Digits in Life</a>.
%H A126803 Game of Life applet and description by Paul Callahan, <a href="http:/
/www.math.com/students/wonders/life/life.html">The World of Math
Online</a>
%Y A126803 Sequence in context: A084663 A031037 A006757 this_sequence A122990 A062372
A046031
%Y A126803 Adjacent sequences: A126800 A126801 A126802 this_sequence A126804 A126805
A126806
%K A126803 base,nonn
%O A126803 1,1
%A A126803 Eric Angelini and Dean Hickerson (eric.angelini(AT)kntv.be), Feb 22 2007
%E A126803 Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 02 2007
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