  By the work of J.Huh, one can interpret binomial coefficients as a solution
to an intersection problem on a permutohedral variety $X_E$. Applying
Hirzebruch-Riemann-Roch, this intersection problem is equivalent to computing
Euler characteristic of a specific element of $K$-theory of $X_E$. This element
has a natural lifting to equivariant $K$-theory and thus the Euler
characteristic may be upgraded to a Laurent polynomial. We provide and
implement three different approaches, in particular a recursive one, to
computing these polynomials.
