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A345024 a(n) is the number of maximal chains of labeled chordal graphs with n vertices.

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%I A345024 #17 Mar 13 2022 11:14:08
%S A345024 1,1,6,576,1416960,120678543360,455010170456862720,
%T A345024 95371866538619173904056320,1383866987105877308750365304858542080,
%U A345024 1716187027583005555045945024371317843956845772800,221917018834976627508152930913765491170568412125060985539788800,3598055237740601485367382153175891099609454479883844294426214728495086488780800
%N A345024 a(n) is the number of maximal chains of labeled chordal graphs with n vertices.
%C A345024 a(n) is the number of sequences G[0], G[1], ..., G[n(n-1)/2] where each G[i] is a chordal graph with i edges and G[i] is a subgraph of G[i+1] for each i. All graphs are labeled.
%H A345024 Brendan McKay, <a href="/A345024/b345024.txt">Table of n, a(n) for n = 1..13</a>
%Y A345024 Cf. A058862.
%K A345024 nonn,hard
%O A345024 1,3
%A A345024 _Brendan McKay_, Jun 05 2021