A301737 Denominator of cumulative weight of certain D-forests on n nodes.

1, 1, 2, 3, 8, 30, 144, 840, 5760, 45360, 403200, 570240, 43545600, 518918400, 6706022400, 93405312000, 126804787200, 22230464256000, 53801459712000, 6758061133824000, 128047474114560000, 2554547108585472000, 53523844179886080000

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Bernhard Gittenberger, Emma Yu Jin, Michael Wallner, On the shape of random Pólya structures, arXiv|1707.02144 [math.CO], 2017; Discrete Math., 341 (2018), 896-911.

Example

1, 0, 1/2, 1/3, 7/8, 11/30, 281/144, 449/840, ...

Crossrefs

Cf. A301736.

Sequence in context: A078918 A054104 A053556 * A001048 A141520 A072042

Adjacent sequences: A301734 A301735 A301736 * A301738 A301739 A301740

Keyword

nonn,frac

Author

N. J. A. Sloane, Apr 02 2018

Extensions

a(8)-a(22) from Andrew Howroyd, Jun 21 2018

Status

approved