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A282699 Irregular triangle read by rows: row n gives numbers of maximal chains of lengths n-1, n, n+1, ... with no plus-full-sets in the Tamari lattice T_n. 0
1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 10, 8, 18, 13, 12, 0, 0, 0, 112, 220, 218, 324, 0, 0, 0, 280, 1464, 5322, 8052, 0, 0, 0, 0, 9240, 42592, 142944 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

LINKS

Table of n, a(n) for n=1..36.

Luke Nelson, A recursion on maximal chains in the Tamari lattices, arXiv:1709.02987 [math.CO], 2017.

Luke Nelson, A recursion on maximal chains in the Tamari lattices, Discrete Mathematics 340.4 (2017): 661-677.

EXAMPLE

Triangle begins:

1,

0,

0,1,

0,0,2,2,

0,0,10,8,18,13,12,

0,0,0,112,220,218,324,

0,0,0,280,1464,5322,8052,

0,0,0,0,9240,42592,142944,

...

The transposed triangle, as given by Nelson, begins:

1,

0,0,1,

0,0,0,2,10,

0,0,0,2,8,112,280,

0,0,0,0,18,220,1464,9240,15400,

0,0,0,0,13,218,5322,42592,281424,1121120,1401400,

0,0,0,0,12,324,8052,142944,1714700,12180168,65985920,190590400,190590400,

...

CROSSREFS

Cf. A027686, A282698.

Sequence in context: A063865 A230275 A230592 * A182107 A337999 A037224

Adjacent sequences:  A282696 A282697 A282698 * A282700 A282701 A282702

KEYWORD

nonn,tabf,more

AUTHOR

N. J. A. Sloane, Feb 25 2017

STATUS

approved

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Last modified June 16 20:38 EDT 2021. Contains 345070 sequences. (Running on oeis4.)