login
Number of linear extensions of a poset whose Hasse diagram consists of n binary shrubs with type B_n joins.
9

%I #18 Aug 26 2018 20:15:40

%S 1,9,477,74601,25740261,16591655817,17929265150637,30098784753112329,

%T 74180579084559895221,256937013876000351610089,

%U 1208025937371403268201735037,7494692521096248546330688437801,59931935202159196095445595508666501

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

%H Lars Blomberg, <a href="/A293951/b293951.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.

%t LMLlist[m_, len_] := Table[(-1)^(n + 1) (m n)!, {n, 1, len}]*

%t Delete [CoefficientList[Series[Log[MittagLefflerE[m, z]], {z, 0, len}], z], 1];

%t LMLlist[3, 13] (* _Peter Luschny_, Aug 26 2018 *)

%Y Cf. A293950, A293952, A293953.

%Y Cf. A000182 (m=2), this seq (m=3), A273352 (m=4), A318258 (m=5).

%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