A218375 - OEIS

%I #10 Aug 12 2019 19:07:41

%S 0,1,1,5,44,784,27544,1887320,252478976,66372782656,34508641142656,

%T 35645444718410240,73356919713975202304,301275013344908538586624,

%U 2471655525947208345490898944,40527712672440838261073708426240,1328579255442486951291268858109935616

%N Number of simple labeled graphs on n nodes with an odd number of components.

%H Alois P. Heinz, <a href="/A218375/b218375.txt">Table of n, a(n) for n = 0..50</a>

%F E.g.f.: sinh(A(x)-1) where A(x) is the e.g.f. for A001187.

%t nn=16;a=Sum[2^Binomial[n,2]x^n/n!,{n,0,nn}];Range[0,nn]!CoefficientList[Series[Sinh[ Log[a]],{x,0,nn}],x]

%Y Cf. A218374.

%K nonn

%O 0,4

%A _Geoffrey Critzer_, Oct 27 2012