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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

648.0. "Prob 85:03 from Western Number Theory" by CLT::GILBERT (eager like a child) Thu Jan 15 1987 21:28

			       n                n
If c(n) is the coefficient of x  in (1 + x + x�) , show that the determinant

	      [ c(0) c(1) ... c(k)   ]     k
of the matrix [ c(1) c(2) ... c(k+1) ] is 2 .
	      [ ...                  ]
	      [ c(k) c(k+1)   c(2k)  ]


Problem by D.H.Lehmer, who has shown this, but believes there must be
a simpler proof.
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