cp's OEIS Frontend

A094738 Number of connected 6-element multiantichains on a labeled n-set.

%I A094738 #7 Jul 14 2019 13:42:15
%S A094738 0,1,1,26,702,34746,2873097,317812783,36594544008,3875472781976,
%T A094738 368569834860663,31872207293370225,2555189550184175334,
%U A094738 193269748160593198186,13986349926952570806549,978803975916211424325827
%N A094738 Number of connected 6-element multiantichains on a labeled n-set.
%H A094738 Robert Israel, <a href="/A094738/b094738.txt">Table of n, a(n) for n = 0..556</a>
%F A094738 E.g.f.: (1/6!)*(exp(63*x) - 30*exp(47*x) + 120*exp(39*x) + 60*exp(35*x) + 60*exp(33*x) - 18*exp(32*x) - 309*exp(31*x) - 720*exp(29*x) + 810*exp(27*x) + 120*exp(26*x) + 480*exp(25*x) + 480*exp(24*x) - 1200*exp(23*x) - 720*exp(22*x) - 240*exp(21*x) - 900*exp(20*x) + 3540*exp(19*x) + 615*exp(18*x) + 780*exp(17*x) + 585*exp(16*x) - 4295*exp(15*x) - 6870*exp(14*x) + 6210*exp(13*x) + 10020*exp(12*x) - 15960*exp(11*x) - 6510*exp(10*x) + 21960*exp(9*x) + 11610*exp(8*x) - 32715*exp(7*x) + 31185*exp(6*x) - 23670*exp(5*x) - 51405*exp(4*x) + 132334*exp(3*x) - 112152*exp(2*x) + 44304*exp(x) - 7560).
%p A094738 E:=  (1/6!)*(exp(63*x) - 30*exp(47*x) + 120*exp(39*x) + 60*exp(35*x) + 60*exp(33*x) - 18*exp(32*x) - 309*exp(31*x) - 720*exp(29*x) + 810*exp(27*x) + 120*exp(26*x) + 480*exp(25*x) + 480*exp(24*x) - 1200*exp(23*x) - 720*exp(22*x) - 240*exp(21*x) - 900*exp(20*x) + 3540*exp(19*x) + 615*exp(18*x) + 780*exp(17*x) + 585*exp(16*x) - 4295*exp(15*x) - 6870*exp(14*x) + 6210*exp(13*x) + 10020*exp(12*x) - 15960*exp(11*x) - 6510*exp(10*x) + 21960*exp(9*x) + 11610*exp(8*x) - 32715*exp(7*x) + 31185*exp(6*x) - 23670*exp(5*x) - 51405*exp(4*x) + 132334*exp(3*x) - 112152*exp(2*x) + 44304*exp(x) - 7560):
%p A094738 S:= series(E,x,21):
%p A094738 seq(coeff(S,x,i),i=0..20); # _Robert Israel_, Jul 14 2019
%Y A094738 Cf. A094033-A094037, A094729-A094738.
%K A094738 nonn
%O A094738 0,4
%A A094738 Goran Kilibarda, _Vladeta Jovovic_, May 24 2004