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Search: id:A062866
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| A062866 |
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Triangle of permutations by barycenter. |
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+0
5
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| 1, 2, 1, 4, 1, 1, 4, 14, 4, 1, 1, 5, 31, 46, 31, 5, 1, 1, 6, 66, 146, 282, 146, 66, 6, 1, 1, 7, 134, 392, 1289, 1394, 1289, 392, 134, 7, 1, 1, 8, 267, 960, 4859, 7736, 12658, 7736, 4859, 960, 267, 8, 1, 1, 9, 529, 2235, 16615, 34659, 85831, 83122, 85831, 34659
(list; table; graph; listen)
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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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(1,3,2,5,7,6,4) has difference (0,1,-1,1,2,0,-3) and signs (0,1,-1,1,1,0,-1) with total 1. This is one of 1289 such permutations of degree 7.
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CROSSREFS
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Cf. A062867, A062868.
Sequence in context: A072918 A162944 A140582 this_sequence A131035 A118745 A131034
Adjacent sequences: A062863 A062864 A062865 this_sequence A062867 A062868 A062869
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KEYWORD
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nice,nonn,tabl
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com), Jun 26 2001
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