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Number of set partitions of [2n] such that n is the largest element of the last block.
2

%I #10 Apr 10 2016 17:55:28

%S 0,1,10,149,3149,88772,3195161,142084077,7611839904,481614364251,

%T 35417157810681,2987457716884346,285867917955683723,

%U 30741794345071162069,3685435185993122202106,489101076818110701758097,71414666988339306082779537,11410190978037926887950636172

%N Number of set partitions of [2n] such that n is the largest element of the last block.

%C Each set partition is written as a sequence of blocks, ordered by the smallest elements in the blocks.

%H Alois P. Heinz, <a href="/A271467/b271467.txt">Table of n, a(n) for n = 1..200</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>

%F a(n) = A271466(2n,n).

%e a(2) = 1: 134|2.

%e a(3) = 10: 12456|3, 1456|23, 1456|2|3, 145|26|3, 146|25|3, 14|256|3, 156|24|3, 15|246|3, 16|245|3, 1|2456|3.

%Y Cf. A271466.

%K nonn

%O 1,3

%A _Alois P. Heinz_, Apr 08 2016