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Search: id:A097399
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| A097399 |
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Maximum of the determinant, taken over all permutations of the elements of a 3 X 3 matrix, which are the consecutive integers in the range (n-4,n+4). |
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+0
7
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| 86, 104, 172, 252, 332, 412, 492, 572, 652, 732, 812, 892, 972, 1053, 1134, 1215, 1296, 1377, 1458, 1539, 1620, 1701, 1782, 1863, 1944, 2025, 2106, 2187, 2268, 2349, 2430, 2511, 2592, 2673, 2754, 2835, 2916, 2997, 3078, 3159, 3240, 3321, 3402, 3483, 3564
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OFFSET
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0,1
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EXAMPLE
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a(0)=86 because the maximal determinant that can achieved using the consecutive integers -4,-3,-2,-1,0,1,2,3,4 as matrix elements of a 3 X 3 matrix is det((-4,-3,0),(1,-1,4),(-2,3,2))=86. Another example for a(5)=412 is given in A085000.
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CROSSREFS
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Cf. A097400 corresponding number of different determinants, A097401, A097693 maximum of determinant if distinct matrix elements are selected from given range, a(5)=A085000(3) maximal determinant with elements (1..n^2).
Sequence in context: A094776 A095595 A095581 this_sequence A039488 A098466 A044256
Adjacent sequences: A097396 A097397 A097398 this_sequence A097400 A097401 A097402
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KEYWORD
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nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Aug 19 2004
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