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Yellowstone sequence: Difference between revisions
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=={{header|zkl}}==
{{trans|Julia}}
<lang zkl></lang>▼
This sequence is limited to the max size of a Dictionary, 64k
<lang zkl>fcn yellowstoneW{
Walker.zero().tweak(fcn(a,b){
foreach i in ([1..]){
if(not b.holds(i) and i.gcd(a[-1])==1 and i.gcd(a[-2]) >1){
a.del(0).append(i); // only keep last two terms
b[i]=True;
return(i);
}
}
}.fp(List(2,3), Dictionary(1,True, 2,True, 3,True))).push(1,2,3);
<lang zkl>println("The first 30 entries of the Yellowstone permutation:");
yellowstoneW().walk(30).concat(", ").println();</lang>
{{out}}
<pre>
The first 30 entries of the Yellowstone permutation:
1, 2, 3, 4, 9, 8, 15, 14, 5, 6, 25, 12, 35, 16, 7, 10, 21, 20, 27, 22, 39, 11, 13, 33, 26, 45, 28, 51, 32, 17
</pre>
Plot using Gnuplot
<lang zkl>gnuplot:=System.popen("gnuplot","w");
gnuplot.writeln("plot '-'");
yellowstoneW().pump(100,gnuplot.writeln,fcn(n){ String(" ",n) });
gnuplot.writeln("e");
gnuplot.flush();
ask("Hit return to finish"); gnuplot.close();</lang>
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