A293951 Number of linear extensions of a poset whose Hasse diagram consists of n binary shrubs with type B_n joins.

1, 9, 477, 74601, 25740261, 16591655817, 17929265150637, 30098784753112329, 74180579084559895221, 256937013876000351610089, 1208025937371403268201735037, 7494692521096248546330688437801, 59931935202159196095445595508666501

Offset: 0

Author

N. J. A. Sloane, Oct 29 2017

Keywords

• nonn

Links

• Lars Blomberg, Table of n, a(n) for n = 0..100
• Jeffrey Remmel, S. Zheng, Rises in forests of binary shrubs, arXiv preprint arXiv:1611.09018 [math.CO], 2016-2017.

Crossrefs

Cf. A293950, A293952, A293953.

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

Programs

Mathematica

LMLlist[m_, len_] := Table[(-1)^(n + 1) (m n)!, {n, 1, len}]*
Delete [CoefficientList[Series[Log[MittagLefflerE[m, z]], {z, 0, len}], z], 1];
LMLlist[3, 13] (* Peter Luschny, Aug 26 2018 *)

Extensions

Terms a(11) and beyond from Lars Blomberg, Oct 31 2017