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Search: id:A062867
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| A062867 |
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Triangle read by rows: entries give numbers of permutations of [1..n] by absolute barycenter. |
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+0
5
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| 1, 2, 4, 2, 14, 8, 2, 46, 62, 10, 2, 282, 292, 132, 12, 2, 1394, 2578, 784, 268, 14, 2, 12658, 15472, 9718, 1920, 534, 16, 2, 83122, 171662, 69318, 33230, 4470, 1058, 18, 2, 985730, 1282604, 964544, 276044, 107660, 10100, 2096, 20, 2
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OFFSET
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0,2
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COMMENT
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The barycenter or signcenter of a permutation is the sum of the signs of the difference between initial and final positions of the objects.
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EXAMPLE
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[1], [2], [4, 2], [14, 8, 2], [46, 62, 10, 2], [282, 292, 132, 12, 2], ...
(1,6,2,3,4,5,7) has difference (0,5,-1,-1,-1,-1,0) and signs (0,1,-1,-1,-1,-1,0) with total -3, absolute value is 3. This is one of 268 such permutations of degree 7.
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CROSSREFS
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Cf. A062866, A062868.
Sequence in context: A006018 A152666 A153801 this_sequence A113539 A152877 A071353
Adjacent sequences: A062864 A062865 A062866 this_sequence A062868 A062869 A062870
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KEYWORD
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nice,nonn,tabf
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com), Jun 26 2001
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 29 2001
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