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Search: id:A084362
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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
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; listen)
OFFSET

1,2

COMMENT

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

LINKS

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

CROSSREFS

Adjacent sequences: A084359 A084360 A084361 this_sequence A084363 A084364 A084365

Sequence in context: A061703 A126948 A131593 this_sequence A079736 A035045 A090328

KEYWORD

easy,nonn

AUTHOR

Thomas Wieder (wieder.thomas(AT)t-online.de), Jun 24 2003

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 24 2003

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Last modified November 21 00:02 EST 2008. Contains 150810 sequences.


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