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A CONDENSED CONDENSATION PROOF OF A DETERMINANT EVALUATION CONJECTURED BY Greg KUPERBERG AND Jim PROPP
 

Summary: A CONDENSED CONDENSATION PROOF OF A DETERMINANT EVALUATION
CONJECTURED BY Greg KUPERBERG AND Jim PROPP
Tewodros AMDEBERHAN1 and Shalosh B. EKHAD1
Greg Kuperberg and Jim Propp P have conjectured the following determinant identity:
det
" i+ j
i
2n,i ,j
n ,i

0i;jn

= 2n+ 1!n+1
2n + 1!! ;
where a!! := 0!1! 2!a!, and a! := 12a.
This is the special case m = n;a = b = 0 of
det
"
i+ j + a+ b
i+ a

  

Source: Amdeberhan, Tewodros - Department of Mathematics, Tulane University

 

Collections: Mathematics