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The E_8-Eulerian numbers.
3

%I #5 May 14 2016 02:00:15

%S 1,881752,28336348,169022824,300247750,169022824,28336348,881752,1

%N The E_8-Eulerian numbers.

%C a(n) is the number of elements of the Weyl group E_8 that have a descent set of size n.

%C Sum_{n=0..8} a(n) = 696729600, which is the order of the group E_8.

%D T. K. Petersen, Eulerian Numbers, Birkhauser, 2015, Table 11.5.

%Y Cf. A008292, A060187, A066094, A273000, A273035.

%K nonn,fini,full

%O 0,2

%A _Tom Edgar_, May 13 2016