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A152684 a(n) is the number of top-down sequences (F_1,F_2, ..., F_n) whereas each F_i is a labeled forest on n nodes, containing i directed rooted trees. F_(i+1) is proper subset of F_i. +0
1
1, 2, 18, 384, 15000, 933120, 84707280, 10569646080, 1735643790720, 362880000000000, 94121726392108800, 29658516531078758400 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=n^(n-2)*(n!)

EXAMPLE

a(1)=1^(1-2)*(1!)=1

a(2)=2^(2-2)*(2!)=2

a(3)=3^(3-2)*(3!)=18

CROSSREFS

Sequence in context: A090307 A123311 A132911 this_sequence A141074 A082402 A156907

Adjacent sequences: A152681 A152682 A152683 this_sequence A152685 A152686 A152687

KEYWORD

nonn

AUTHOR

Fabian Nedic (fabian.nedic(AT)gmx.de), Dec 10 2008

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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