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Number of set partitions of [n+1] such that n is the largest element of the last block.
2

%I #8 Apr 13 2016 14:39:53

%S 0,1,4,15,59,250,1145,5649,29874,168509,1009215,6391484,42648083,

%T 298865333,2193219124,16811408659,134289313167,1115559002906,

%U 9619253991637,85950089855573,794567157607386,7588822028424393,74783864494826723,759461721024357540

%N Number of set partitions of [n+1] such that n is the largest element of the last block.

%H Alois P. Heinz, <a href="/A271752/b271752.txt">Table of n, a(n) for n = 1..576</a>

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

%F a(n) = A271466(n+1,n).

%e a(3) = 4: 124|3, 14|23, 14|2|3, 1|24|3.

%e a(4) = 15: 1235|4, 125|34, 125|3|4, 12|35|4, 135|24, 135|2|4, 13|25|4, 15|234, 15|23|4, 1|235|4, 15|2|34, 1|25|34, 15|2|3|4, 1|25|3|4, 1|2|35|4.

%Y A diagonal of A271466.

%K nonn

%O 1,3

%A _Alois P. Heinz_, Apr 13 2016