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Number of set partitions of [n+3] such that n is the largest element of the last block.
2

%I #5 Apr 13 2016 14:55:48

%S 0,1,10,63,365,2110,12521,77133,495408,3321545,23241681,169563944,

%T 1288195931,10176462413,83473288546,709925146315,6251616698625,

%U 56926598141054,535352734428349,5193455071192121,51913950093082800,534160387907563869,5651905462025615573

%N Number of set partitions of [n+3] such that n is the largest element of the last block.

%H Alois P. Heinz, <a href="/A271754/b271754.txt">Table of n, a(n) for n = 1..574</a>

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

%F a(n) = A271466(n+3,n).

%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 A diagonal of A271466.

%K nonn

%O 1,3

%A _Alois P. Heinz_, Apr 13 2016