A039759 Number of edges in the Hasse diagrams for the B-analogs of the partition lattices.

0, 1, 8, 58, 432, 3396, 28384, 252456, 2385280, 23874448, 252380800, 2809461920, 32841595136, 402105388608, 5144478074368, 68625615724160, 952603633463296, 13735016459768064, 205358227932235776, 3179027634604907008, 50881656554805620736, 840901491722391454720, 14332437167995507302400

Offset

0,3

Links

Table of n, a(n) for n=0..22.

R. Suter, Two analogues of a classical sequence, J. Integer Sequences, Vol. 3 (2000), #P00.1.8.

Formula

E.g.f.: 1/4 * (exp(4*x)-1) * exp(1/2*exp(2*x)+x-1/2).

Mathematica

max = 18; CoefficientList[ Series[1/4*E^x*(E^(4*x) - 1)*E^((1/2)*(E^(2*x) - 1)), {x, 0, max}], x]*Range[0, max]! (* Jean-François Alcover, Oct 04 2013, after e.g.f. *)

Prog

(PARI) x='x+O('x^66); concat([0], Vec( serlaplace( 1/4*(exp(4*x)-1)*exp(1/2*exp(2*x)+x-1/2) ) ) ) \\ Joerg Arndt, Oct 04 2013

Crossrefs

Edges in the Hasse diagrams for partition lattices: A003128, D-analogs = A039765.

Sequence in context: A190978 A254663 A126529 * A244939 A047867 A002538

Adjacent sequences: A039756 A039757 A039758 * A039760 A039761 A039762

Keyword

nonn

Author

Ruedi Suter (suter(AT)math.ethz.ch)

Status

approved