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Search: id:A058333
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| A058333 |
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Number of 3 X 3 matrices with elements from [0,...,(n-1)] satisfying the condition that the middle element of each row or column is the difference of the two end elements (in absolute value). |
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+0
1
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| 1, 16, 73, 208, 465, 896, 1561, 2528, 3873, 5680, 8041, 11056, 14833, 19488, 25145, 31936, 40001, 49488, 60553, 73360, 88081, 104896, 123993, 145568, 169825, 196976, 227241, 260848, 298033, 339040
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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If the "middle element" condition in the definition is also placed on the two diagonal lines of three in addition to each row and column, the sequence generated is the sequence of squares {1,4,9,16,...}.
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FORMULA
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The terms a(1) through a(30) are given by a(n)=(n^4+8n^3-10n^2+4n)/3.
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CROSSREFS
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Sequence in context: A029872 A056633 A098096 this_sequence A124894 A126403 A103111
Adjacent sequences: A058330 A058331 A058332 this_sequence A058334 A058335 A058336
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Dec 13 2000
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