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A271757 Number of set partitions of [n+6] such that n is the largest element of the last block.

%I A271757 #5 Apr 13 2016 15:14:36
%S A271757 0,1,66,989,10039,88772,745107,6164685,51235748,432156891,3720513359,
%T A271757 32799220082,296618292653,2754210931669,26267172307690,
%U A271757 257304094100601,2588217808077035,26724983451319372,283138925329167239,3076286737105578561,34258285168272873876
%N A271757 Number of set partitions of [n+6] such that n is the largest element of the last block.
%H A271757 Alois P. Heinz, <a href="/A271757/b271757.txt">Table of n, a(n) for n = 1..571</a>
%H A271757 Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
%F A271757 a(n) = A271466(n+6,n).
%e A271757 a(3) = 66: 12456789|3, 1456789|23, 1456789|2|3, 145678|29|3, 145679|28|3, 14567|289|3, 145689|27|3, 14568|279|3, 14569|278|3, 1456|2789|3, 145789|26|3, 14578|269|3, 14579|268|3, 1457|2689|3, 14589|267|3, 1458|2679|3, 1459|2678|3, 145|26789|3, 146789|25|3, 14678|259|3, 14679|258|3, 1467|2589|3, 14689|257|3, 1468|2579|3, 1469|2578|3, 146|25789|3, 14789|256|3, 1478|2569|3, 1479|2568|3, 147|25689|3, 1489|2567|3, 148|25679|3, 149|25678|3, 14|256789|3, 156789|24|3, 15678|249|3, 15679|248|3, 1567|2489|3, 15689|247|3, 1568|2479|3, 1569|2478|3, 156|24789|3, 15789|246|3, 1578|2469|3, 1579|2468|3, 157|24689|3, 1589|2467|3, 158|24679|3, 159|24678|3, 15|246789|3, 16789|245|3, 1678|2459|3, 1679|2458|3, 167|24589|3, 1689|2457|3, 168|24579|3, 169|24578|3, 16|245789|3, 1789|2456|3, 178|24569|3, 179|24568|3, 17|245689|3, 189|24567|3, 18|245679|3, 19|245678|3, 1|2456789|3.
%Y A271757 A diagonal of A271466.
%K A271757 nonn
%O A271757 1,3
%A A271757 _Alois P. Heinz_, Apr 13 2016