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A316836 Let L_k(n) denote the number of elements of rank k in the free distributive lattice on n generators. Sequence gives irregular triangle, read by rows, showing coefficients when L_k(n) is expressed as a linear combination of binomial(n,i) for 0 <= i <= k-1. 0
1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 3, 1, 0, 0, 0, 3, 6, 1, 0, 0, 0, 1, 15, 10, 1, 0, 0, 0, 1, 20, 45, 15, 1, 0, 0, 0, 0, 19, 120, 105, 21, 1, 0, 0, 0, 0, 18, 220, 445, 210, 28, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,15

LINKS

Table of n, a(n) for n=0..55.

George Markowsky, The level polynomials of the free distributive lattices, Discrete Mathematics 29.3 (1980): 275-285. Gives rows 0 through 16.

EXAMPLE

Triangle begins:

1

1

0 1

0 0 1

0 0 1 1

0 0 0 3 1

0 0 0 3 6 1

0 0 0 1 15 10 1

0 0 0 1 20 45 15 1

0 0 0 0 19 120 105 21 1

0 0 0 0 18 220 445 210 28 1

...

CROSSREFS

Sequence in context: A049828 A286131 A285631 * A058612 A099725 A285118

Adjacent sequences:  A316833 A316834 A316835 * A316837 A316838 A316839

KEYWORD

nonn,tabf,more

AUTHOR

N. J. A. Sloane, Jul 22 2018

STATUS

approved

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Last modified February 21 18:45 EST 2019. Contains 320376 sequences. (Running on oeis4.)