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Search: id:A084999
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| A084999 |
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Determinant of a certain n X n matrix whose elements are the integers 1 to n^2. |
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+0
1
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| 1, -10, 260, -9002, 391860, -20256038, 1211950740, -82281893850, 6247844526420, -524546069736150, 48243794823724500, -4823577417987578250, 520903033165862392500, -60422912433611865159750, 7492466897219978346172500
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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.
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EXAMPLE
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Matrix of order 4 is:
1 8 13 16
7 2 9 14
12 6 3 10
15 11 5 4
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PROGRAM
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(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)
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CROSSREFS
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Sequence in context: A120268 A001824 A024294 this_sequence A054593 A160481 A060608
Adjacent sequences: A084996 A084997 A084998 this_sequence A085000 A085001 A085002
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KEYWORD
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sign
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 16 2003
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EXTENSIONS
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Corrected by Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 12 2004
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