Title of article
A closed formula for the number of inequivalent ordered integer quadrilaterals with fixed perimeter
Author/Authors
Sadek ، Bouroubi Faculty of Mathematics - University of Sciences and Technology Houari Boumediene
From page
327
To page
334
Abstract
Given an integer n ≥ 4, how many inequivalent quadrilaterals with ordered integer sides and perimeter n are there? Denoting such number by Q(n), the answer is given by the following closed formula: Q(n) =1576n (n + 3) (2n + 3) −(−1)n192n (n − 5)
Keywords
Integer quadrilaterals , Ordered quadrilaterals , Integer partitions , generating function
Journal title
Transactions on Combinatorics
Journal title
Transactions on Combinatorics
Record number
2772538
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