cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A120331 Number of polynomials in two noncommuting variables over the field F_2 having complexity or rank n.

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%I A120331 #13 Apr 03 2015 19:22:05
%S A120331 1,1,6,72,1776,89280,9065472,1850148864,757046525952,620298979246080,
%T A120331 1017126921430892544,3336658943759213395968,
%U A120331 21894988380633154342354944,287369531352172835754234347520,7543680108676972971562235527692288
%N A120331 Number of polynomials in two noncommuting variables over the field F_2 having complexity or rank n.
%H A120331 R. Bacher, <a href="/A120331/b120331.txt">Table of n, a(n) for n = 0..24</a>
%H A120331 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 A120331 The reference contains a somewhat complicated formula.
%e A120331 The six polynomials corresponding to a(2) are: X, Y, X+Y, 1+X, 1+Y, 1+X+Y.
%Y A120331 Cf. A137342.
%K A120331 nonn
%O A120331 0,3
%A A120331 _Roland Bacher_, Apr 29 2008