

A062868


Number of permutations of degree n with barycenter 0.


14



1, 2, 4, 14, 46, 282, 1394, 12658, 83122, 985730, 8012962, 116597538, 1127575970, 19410377378, 217492266658, 4320408974978, 55023200887938, 1238467679662722
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OFFSET

1,2


COMMENTS

The barycenter or signcenter of a permutation is the sum of the signs of the difference between initial and final positions of the objects.


LINKS

Table of n, a(n) for n=1..18.


EXAMPLE

(4,1,3,5,2) has difference (3,1,0,1,3) and signs (1,1,0,1,1) with total 0.


CROSSREFS

Cf. A062866, A062867, A179567, A196687, A196688.
Sequence in context: A263741 A263742 A263743 * A054936 A006443 A152103
Adjacent sequences: A062865 A062866 A062867 * A062869 A062870 A062871


KEYWORD

nice,nonn


AUTHOR

Olivier Gérard, Jun 26 2001


EXTENSIONS

One more term from Vladeta Jovovic, Jun 28 2001
a(11)a(14) from Hugo Pfoertner, Sep 23 2004
a(15)a(18) from R. H. Hardin, Jul 18 2010


STATUS

approved



