A273000 The E_6-Eulerian numbers.

1, 1272, 12183, 24928, 12183, 1272, 1

Offset: 0

Author

Tom Edgar, May 12 2016

Keywords

• nonn
• fini
• full

Comments

a(n) is the number of elements of the Weyl group E_6 that have a descent set of size n.

Sum_{n=0..6} a(n) = 51840, which is the order of the group E_6.

References

• T. K. Petersen, Eulerian Numbers, Birkhauser, 2015, Table 11.5.

Crossrefs

Cf. A008292, A060187, A066094.