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A137343 Number of elements of length n with respect to the natural metric in the special group of rational series over the finite field F_2 in two non-commuting variables. 1

%I

%S 1,12,1296,505536,679848192,3248147205120,57637071142391808,

%T 3930578658351563587584,1050888530707010579202637824,

%U 1112792971262327168651248131637248

%N Number of elements of length n with respect to the natural metric in the special group of rational series over the finite field F_2 in two non-commuting variables.

%H Roland Bacher, Apr 08 2008, <a href="/A137343/b137343.txt">Table of n, a(n) for n = 0..14</a>

%H R. Bacher, <a href="http://arxiv.org/abs/0804.1092">The special subgroup of invertible non-commutative rational power series as a metric group</a>, arXiv:0804.1092

%F The reference contains a somewhat complicated formula.

%K nonn

%O 0,2

%A _Roland Bacher_, Apr 08 2008

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Last modified April 18 16:45 EDT 2019. Contains 322209 sequences. (Running on oeis4.)