FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 1, PAGES 147-155

**Enumerating functions for nonnegative integer coordinates of
$L$-dimensional vectors**

S. L. Chernyshev

Abstract

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The enumerating function $CL(X$_{1},...,X_{L}),
which bijectively maps tuples of length $L$ of nonnegative integers
to nonnegative integers $Z\; =\; CL(X$_{1},...,X_{L}),
is represented as a sum of $L$ figurate numbers.

Location: http://mech.math.msu.su/~fpm/eng/k09/k091/k09111h.htm

Last modified: December 2, 2009