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A084362 a(n) = Sum{j_1 + ... + j_n = n} Sum_{k=1..n} k*C(n-1,k-1), where the outer sum is over all partitions of n. 0
1, 4, 12, 35, 91, 234, 566, 1353, 3133, 7172, 16108, 35871, 78891, 172338, 373386, 804649, 1723957, 3678128, 7813748, 16543943, 34913591, 73480386, 154249498, 323078245, 675271797, 1408772440, 2933901672, 6100500103 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Total number of levels in a multi-hierarchy society with n members.

LINKS

Table of n, a(n) for n=1..28.

N. J. A. Sloane and Thomas Wieder, The Number of Hierarchical Orderings, Order 21 (2004), 83-89.

CROSSREFS

Sequence in context: A131593 A246988 A340492 * A318941 A079736 A035045

Adjacent sequences:  A084359 A084360 A084361 * A084363 A084364 A084365

KEYWORD

easy,nonn

AUTHOR

Thomas Wieder, Jun 24 2003

EXTENSIONS

More terms from Vladeta Jovovic, Jun 24 2003

STATUS

approved

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Last modified August 3 08:21 EDT 2021. Contains 346435 sequences. (Running on oeis4.)