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A126803 Integers that die when submitted to the rules of the Game of Life. Design of the digits is shown below.

%I A126803 #25 Jul 28 2017 08:30:53
%S A126803 8,10,11,14,18,20,31,48,50,81,83,87,88,101,118,122,127,144,148,155,
%T A126803 157,161,174,181,188,191,199,202,205,206,208,218,221,222,228,245,247,
%U A126803 248,274,278,284,285,295,302,304,305,308,309,312,313,315,323,327,331,342
%N A126803 Integers that 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, Feb 22 2007, <a href="/A126803/b126803.txt">Table of n, a(n) for n = 1..111</a>
%H A126803 Eric Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/GOLife.htm">Une suite pour la Vie</a>
%H A126803 E. Angelini, <a href="/A126803/a126803.pdf">Une suite pour la Vie</a> [Cached, with permission]
%H A126803 Paul Callahan, Game of Life applet and description, <a href="http://www.math.com/students/wonders/life/life.html">The World of Math Online</a>
%H A126803 Dean Hickerson, <a href="http://radicaleye.com/DRH/digits.html">Digits in Life</a>.
%K A126803 base,nonn
%O A126803 1,1
%A A126803 _Eric Angelini_ and _Dean Hickerson_, Feb 22 2007
%E A126803 Edited by _Dean Hickerson_, Mar 02 2007