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A056174 Number of non-monotone maps from 1,...,n to 1,...,n. +0
1
0, 0, 0, 10, 190, 2878, 45738, 820118, 16764354, 387371878, 9999815254, 285310965190, 8916097744112, 302875096191666 (list; graph; listen)
OFFSET

0,4

FORMULA

a(n) =n^n-C(2n, n)+n =A000312(n)-A045992(n)

EXAMPLE

a(3)=10 since the mappings of (1,2,3) to (1,2,1), (1,3,1), (1,3,2), (2,1,2), (2,1,3), (2,3,1), (2,3,2), (3,1,2), (3,1,3), and (3,2,3) all reverse direction

CROSSREFS

Cf. A000312, A000984, A001700, A045992.

Sequence in context: A064092 A121973 A006409 this_sequence A033714 A131521 A113373

Adjacent sequences: A056171 A056172 A056173 this_sequence A056175 A056176 A056177

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jul 27 2000

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.


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