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A084999 Determinant of a certain n X n matrix whose elements are the integers 1 to n^2. 0

%I

%S 1,-10,260,-9002,391860,-20256038,1211950740,-82281893850,

%T 6247844526420,-524546069736150,48243794823724500,

%U -4823577417987578250,520903033165862392500,-60422912433611865159750,7492466897219978346172500

%N Determinant of a certain n X n matrix whose elements are the integers 1 to n^2.

%C Fill the main diagonal, then come back up the adjacent diagonal, skip over to the other adjacent diagonal and precede with 2n through 3n-2, etc.

%e Matrix of order 4 is:

%e 1 8 13 16

%e 7 2 9 14

%e 12 6 3 10

%e 15 11 5 4

%o (PARI) {init_m(n)= m=matrix(n,n,row,col,row*(row==col)); next_entry=n+1; for(i=2,n, col=n-i+1; forstep(row=n,i,-1, m[row,col]=next_entry; next_entry++; col--); col=i; for(row=1,n-i+1, m[row,col]=next_entry; next_entry++; col++))} for(n=1,15, init_m(n); print1(matdet(m),",")) (Rick L. Shepherd)

%K sign

%O 1,2

%A _Robert G. Wilson v_, Jun 16 2003

%E Corrected by _Rick L. Shepherd_, Jun 12 2004

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Last modified October 20 21:32 EDT 2020. Contains 337910 sequences. (Running on oeis4.)