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Number of linear extensions of a poset whose Hasse diagram consists of n binary shrubs with type A_n joins.
4

%I #14 Oct 31 2017 21:16:10

%S 1,2,40,3194,666160,287316122,222237912664,280180369563194,

%T 537546603651987424,1490424231594917313242,5735930050702709579598280,

%U 29665120602262869704075225594,200776204583497637546703088929040,1739317344037357729592558320480494362

%N Number of linear extensions of a poset whose Hasse diagram consists of n binary shrubs with type A_n joins.

%H Lars Blomberg, <a href="/A293950/b293950.txt">Table of n, a(n) for n = 0..100</a>

%H Jeffrey Remmel, S. Zheng, <a href="https://arxiv.org/abs/1611.09018">Rises in forests of binary shrubs</a>, arXiv preprint arXiv:1611.09018 [math.CO], 2016-2017.

%Y Cf. A293951, A293952, A293953.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Oct 29 2017

%E Terms a(11) and beyond from _Lars Blomberg_, Oct 31 2017