Reference request: Lascoux's formulas for Chern classes of tensor products and symmetric powers Let $E$ and $F$ be vector bundles on a smooth projective variety, say. 
A. Lascoux ("Classes de Chern d'un produit tensoriel", C. R. Acad. Sci. Paris Sér. A-B 286 (1978), no. 8, A385–A387) gave formulas for the Chern classes of $E \otimes F$, $Sym^2 E$ and $\bigwedge^2 E$ in terms of the Chern classes of $E$ and $F$. 
Unfortunately, I don't have access to Lascoux's article, and a bit of Googling didn't find them reproduced elsewhere.
Does anyone know another reference (preferably freely available online) where these formulas are written down?
Edit: In the comments, Robert Bryant suggests Hirzebruch's book "Topological methods in algebraic geometry" as a reference. Indeed, there is a formula there for the generating function for the Chern classes of $E \otimes F$and $\bigwedge^p E$, namely the obvious thing you get from the splitting principle and Whitney sum formula. So this gives you some answer in terms of Chern roots of $E$ and $F$.
But he content of Lascoux's formulas (I guess; I mean, I haven't actually seen them) is to rearrange this into an expression just in terms of the Chern classes of $E$ and $F$. I can probably (he claimed) do this in whatever case I care about, but the real intent of my question is actually to get a reference.   
 A: You say you don't have access to Lascoux's paper, but it is actually available online at the BNF: 

http://gallica.bnf.fr/ark:/12148/bpt6k62341359/f397.image

A: The  splitting principle gives the expression
$c(E\otimes F)=\prod_x\prod_y (1+x+y)$ that combinatorics has to write in
terms of symmetric functions. To argue that this is a necessary step,
one could say that Macdonald's book ``Symmetric functions and Hall
polynomials'' is mostly devoted to computing symmetric functions
without using any variable. As a matter of fact, the Chern classes of a
tensor product are given p.67 in Macdonald's book.
To illustrate that $\prod_x\prod_y (1+x+y)$ is not an appropriate
expression for a geometer, one can take for example the problem of
finding a criterium for numerical positivity of ample vector bundles.
Positivity of Chern classes is not enough. But the criterium must be
compatible with tensor products.
The fact that $\prod_x\prod_y (1+x+y)$ expands positively in terms of
Schur functions forces to add positivity of Schur functions to the
criterium. In fact, this criterium is now sufficient, as proved by
Lazarfeld and Fulton (Annals of Math 118(1983) 35-60).
The coefficients of the expansion in the Schur basis of $c(E\otimes F)$
are determinants of binomial coefficients which can be studied by using
non-intersecting paths, after Gessel and Viennot.
Moreover they are equal to specializations of Schubert polynomials
in $x_1=1=x_2\ldots$, $y_1=0=y_2\ldots$ because Schubert polynomials
satisfy a Cauchy formula (cf. A.Lascoux, Symmetric functions &
Combinatorial operators on polynomials, CBMS/AMS Lectures Notes ${\bf
99}$, (2003), p. 161.
