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.

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Last modified: December 2, 2009