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Number of permutations avoiding the consecutive pattern 35124.
1

%I #6 Mar 30 2012 17:30:04

%S 1,2,6,24,119,708,4914,38982,347898,3449832,37630215,447778848,

%T 5772349056,80135742750,1191964110777,18911623686552,318803730114225,

%U 5690383738630956,107211361385886516,2126260453008788598,44277328711513910475,965939103520765611768

%N Number of permutations avoiding the consecutive pattern 35124.

%C a(n) is the number of permutations on [n] that avoid the consecutive pattern 35124. It is the same as the number of permutations which avoid 24513, 31542 or 42153.

%H Ray Chandler, <a href="/A202234/b202234.txt">Table of n, a(n) for n = 1..40</a>

%H A. Baxter, B. Nakamura, and D. Zeilberger. <a href="http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/auto.html">Automatic generation of theorems and proofs on enumerating consecutive Wilf-classes</a>

%Y Cf. A177523, A202213-A202236.

%K nonn

%O 1,2

%A _Ray Chandler_, Dec 15 2011