Geodesic
Chromatic Sums for Rooted Planar Triangulations, V: Special Equations
Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 893-907

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In I we obtained an equation, called the "chromatic equation", for the generating function g(x, y, z, λ). In II and III we obtained special equations, valid in the cases λ = τ + 1 and λ = 3 respectively, for the generating function l(y, z, λ), defined as the coefficient of x 2 in g(x, y, z, λ). The argument was independent of that in I and no attempt was made to derive the new formulae from the chromatic equation. 
Tutte, W. T. Chromatic Sums for Rooted Planar Triangulations, V: Special Equations. Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 893-907. doi: 10.4153/CJM-1974-084-1
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