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Search: id:A062868
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| A062868 |
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Number of permutations of degree n with barycenter 0. |
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+0
3
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| 1, 2, 4, 14, 46, 282, 1394, 12658, 83122, 985730, 8012962, 116597538, 1127575970, 19410377378
(list; graph; listen)
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OFFSET
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1,2
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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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(4,1,3,5,2) has difference (3,-1,0,1,-3) and signs (1,-1,0,1,-1) with total 0.
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CROSSREFS
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Cf. A062866, A062867.
Sequence in context: A149851 A149852 A005437 this_sequence A054936 A006443 A152103
Adjacent sequences: A062865 A062866 A062867 this_sequence A062869 A062870 A062871
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KEYWORD
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nice,nonn
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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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One more term from Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 28 2001
a(11)-a(14) from Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 23 2004
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