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Search: id:A072332
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| A072332 |
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Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n^2 filled successively along antidiagonals (A069480). |
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+0
1
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| 1, 5, 17, 38, 73, 126, 199, 296, 420, 576, 765, 992, 1261, 1574, 1935, 2348, 2815, 3341, 3928, 4581, 5302, 6096, 6964, 7912, 8942, 10058, 11262, 12560, 13954, 15447, 17042, 18745, 20557, 22482, 24524, 26686, 28971, 31383, 33926, 36602, 39416
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OFFSET
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1,2
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MATHEMATICA
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f[n_] := Table[(i + j - 1)((i + j - 1) - 1)/2 + 1 + (j - 1) - Mod[i + j - 1, n, 1]^2 Quotient[i + j - 1, n, 1], {i, n}, {j, n}]; Table[ Sort[ Round[ Eigenvalues[ N[ f[n]]]]] [[ -1]], {n, 1, 45}]
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CROSSREFS
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Sequence in context: A146428 A146235 A087728 this_sequence A127744 A122734 A163686
Adjacent sequences: A072329 A072330 A072331 this_sequence A072333 A072334 A072335
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 15 2002
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