A293950 -id:A293950 - cp's OEIS frontend

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

N. J. A. Sloane, Oct 29 2017

nonn

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.

Cf. A293950, A293952, A293953.

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

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 *)

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

A293952 Number of linear extensions of a poset whose Hasse diagram consists of n binary shrubs with type E_n joins.

Original entry on oeis.org

1, 3, 99, 11259, 3052323, 1620265923, 1488257158851, 2172534146099019, 4736552519729393091, 14708695606607601165843, 62671742039942099631403299, 355493170380387030721038571419, 2618304731622723256262677112102883, 24521387779014982719407393681918617443

Offset: 0

N. J. A. Sloane, Oct 29 2017

nonn

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.

Cf. A293950, A293951, A293953.

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

A293953 Number of linear extensions of a poset whose Hasse diagram consists of n binary shrubs with type S_n joins.

Original entry on oeis.org

1, 5, 169, 19241, 5216485, 2769073949, 2543467934449, 3712914075133121, 8094884285992309261, 25137521105896509819605, 107107542395866078895709049, 607546536582495444795794603801, 4474746926116218974619451907008885, 41907652406924609850893820950967654989

Offset: 0

N. J. A. Sloane, Oct 29 2017

nonn

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.

Cf. A293950, A293951, A293952.

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

cp's OEIS Frontend

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

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

Extensions

A293952 Number of linear extensions of a poset whose Hasse diagram consists of n binary shrubs with type E_n joins.

Views

Author

Keywords

Links

Crossrefs

Extensions

A293953 Number of linear extensions of a poset whose Hasse diagram consists of n binary shrubs with type S_n joins.

Views

Author

Keywords

Links

Crossrefs

Extensions