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%I #5 Mar 27 2016 14:28:28
%S 4,127,1856,20074,191967,1753407,15845905,144101608,1329935983,
%T 12512797900,120312183453,1183814298898,11928314725101,
%U 123117825217659,1301722909447207,14096302961791594,156301760858165116,1773962132569829592,20600385809700410195
%N Number of set partitions of [n] having exactly five pairs (m,m+1) such that m+1 is in some block b and m is in block b+1.
%H Alois P. Heinz, <a href="/A270959/b270959.txt">Table of n, a(n) for n = 9..220</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
%e a(9) = 4: 1369|258|47, 136|259|48|7, 139|258|47|6, 159|248|37|6.
%Y Column k=5 of A270953.
%K nonn
%O 9,1
%A _Alois P. Heinz_, Mar 26 2016