# A new formulation of a result by McLaughlin for an arbitrary dimension 2 matrix power

Journal article

Larcombe, Peter J. 2016. A new formulation of a result by McLaughlin for an arbitrary dimension 2 matrix power. Bulletin of the Institute of Combinatorics and its Applications (ICA).
Authors Larcombe, Peter J. We obtain an existing 2004 result of J. McLaughlin which gives explicit entries for a general dimension 2 matrix raised to an arbitrary power. Our formulation employs so called Catalan polynomials related to the crucial parameter of McLaughlin’s statement, and is a new one running along a different line of argument. We obtain an existing 2004 result of J. McLaughlin which givesexplicit entries for a general dimension 2 matrix raised to anarbitrary power. Our formulation employs so called Catalanpolynomials related to the crucial parameter of McLaughlin’sstatement, and is a new one running along a different line ofargument. Discrete mathematics; Applied mathematics 2016 Bulletin of the Institute of Combinatorics and its Applications (ICA) The Institute of Combinatorics and its Applications (ICA) 1183-1278 http://hdl.handle.net/10545/620862 http://creativecommons.org/licenses/by/4.0/ hdl:10545/620862 Jan 2016 16 Nov 2016, 13:41 University of Derby (2016) A New Formulation of a Result by McLaughlin for an Arbitrary Dimension 2 Matrix Power.pdfFile Access LevelOpen license_urlFile Access LevelOpen license.txtFile Access LevelOpen

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