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A039759 Number of edges in the Hasse diagrams for the B-analogs of the partition lattices. 3
0, 1, 8, 58, 432, 3396, 28384, 252456, 2385280, 23874448, 252380800, 2809461920, 32841595136, 402105388608, 5144478074368, 68625615724160, 952603633463296, 13735016459768064, 205358227932235776, 3179027634604907008, 50881656554805620736, 840901491722391454720, 14332437167995507302400 (list; graph; refs; listen; history; text; internal format)
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-Fran├žois 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

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Last modified May 7 23:48 EDT 2021. Contains 343652 sequences. (Running on oeis4.)