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A007711 Number of unreformed permutations of {1,...,n}.
(Formerly M3546)
+0
6
1, 1, 4, 18, 105, 636, 4710, 38508, 352902, 3563297, 39467081, 475326930, 6198134207, 86912048471, 1305146666727, 20897040866280 (list; graph; listen)
OFFSET

1,3

REFERENCES

A. M. Bersani, "Reformed permutations in Mousetrap and its generalizations", preprint MeMoMat n. 15/2005.

R. K. Guy and R. J. Nowakowski, ``Mousetrap,'' in D. Miklos, V.T. Sos and T. Szonyi, eds., Combinatorics, Paul Erdos is Eighty. Bolyai Society Math. Studies, Vol. 1, pp. 193-206, 1993.

R. K. Guy and R. J. Nowakowski, ``Mousetrap,'' Amer. Math. Monthly, 101 (1994), 1007-1010.

LINKS

A. M. Bersani, On the game Mousetrap.

EXAMPLE

For n=3 the 4 unreformed permutations are 123,231,312,213. So a(3)=4 Also 132->123, 321->213 are reformable.

CROSSREFS

Cf. A007709, A007712, A055459, A067950.

Adjacent sequences: A007708 A007709 A007710 this_sequence A007712 A007713 A007714

Sequence in context: A137958 A064852 A051827 this_sequence A020114 A009597 A060223

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Mar 06 2002

2 more terms from Alberto M. Bersani (bersani(AT)dmmm.uniroma1.it), Feb 07 2007

One more term from Alberto M. Bersani (bersani(AT)dmmm.uniroma1.it), Feb 24 2008

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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