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Length of lists created by n substitutions k -> Range[ -Floor[Abs[k]/2],Floor[Abs[k]+3/2]] starting with {0}.
0

%I #3 Mar 30 2012 18:37:43

%S 1,2,5,15,49,169,604,2212,8244,31128,118716,456337,1765251

%N Length of lists created by n substitutions k -> Range[ -Floor[Abs[k]/2],Floor[Abs[k]+3/2]] starting with {0}.

%e {0}, {0,1}, {0,1,0,1,2}, {0,1,0,1,2,0,1,0,1,2,-1,0,1,2,3}

%t {Length/@Flatten/@NestList[ # /. k:(_Integer|_Rational):>Range[ -Floor[Abs[k]/2], Floor[Abs[k]+3/2]]&, {0}, 11]}

%K nonn

%O 0,2

%A _Wouter Meeussen_, May 11 2003