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Number of permutations of [n] with every alternating run of length less than 3 in which the last alternating run has length 1.
1

%I #9 Oct 28 2014 20:49:30

%S 0,1,1,3,9,34,159,853,5249,36369,279711,2367212,21854625,218570717,

%T 2354163631,27167018427,334407123969,4373595961678,60565476185919,

%U 885304614118777,13621870369734689,220074660203753961,3724832321188825551,65909583942401516528

%N Number of permutations of [n] with every alternating run of length less than 3 in which the last alternating run has length 1.

%H Alois P. Heinz, <a href="/A246013/b246013.txt">Table of n, a(n) for n = 0..300</a>

%H Ira M. Gessel, Yan Zhuang, <a href="http://arxiv.org/abs/1408.1886">Counting permutations by alternating descents</a>, 2014. See c(n).

%K nonn

%O 0,4

%A _N. J. A. Sloane_, Aug 11 2014

%E More terms from _Alois P. Heinz_, Oct 28 2014