A333508 Central coefficients of polynomials related to Weyl groups and defined in A162206.

1, 2, 6, 30, 212, 1924, 21280, 277788, 4180544, 71259048, 1356909620, 28547946524, 657640647850, 16463431995932, 445040788849348, 12919664598624526, 400880326987609778, 13239976828676088316, 463742797180250495450, 17169969365226035615744

Offset

1,2

Links

Table of n, a(n) for n=1..20.

Mathematica

a[n_] := SeriesCoefficient[(1-x^n) Product[1-x^(2k), {k, 1, n-1}]/(1-x)^n, {x, 0, n(n-1)/2}];
Array[a, 20]

Crossrefs

Cf. A162206 - A162212, A162248, A162288, A162297, A162300, A162301, A162321, A162327, A162328, A162346, A162347, A162359.

Sequence in context: A354411 A293756 A161620 * A205569 A108204 A088160

Adjacent sequences: A333505 A333506 A333507 * A333509 A333510 A333511

Keyword

nonn

Author

Jean-François Alcover, Mar 25 2020

Status

approved