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A275290 Number of set partitions of [n] with symmetric block size list of length five.

%I A275290 #10 Aug 02 2016 07:40:04
%S A275290 1,3,22,86,470,2066,10299,47503,229792,1081851,5189068,24671320,
%T A275290 118223765,565269659,2713032552,13022313334,62644482305,301600159952,
%U A275290 1454293747517,7019496361595,33922782653124,164099194834163,794642770006896,3851565096708617
%N A275290 Number of set partitions of [n] with symmetric block size list of length five.
%H A275290 Alois P. Heinz, <a href="/A275290/b275290.txt">Table of n, a(n) for n = 5..500</a>
%H A275290 Vaclav Kotesovec, <a href="/A275290/a275290.txt">Recurrence (of order 7)</a>
%H A275290 Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
%F A275290 a(n) ~ 5^n / (96*Pi*n). - _Vaclav Kotesovec_, Aug 02 2016
%e A275290 a(6) = 3: 1|2|34|5|6, 1|2|35|4|6, 1|2|36|4|5.
%e A275290 a(7) = 22: 12|3|4|5|67, 13|2|4|5|67, 1|23|4|56|7, 1|23|4|57|6, 14|2|3|5|67, 1|24|3|56|7, 1|24|3|57|6, 1|2|345|6|7, 1|2|346|5|7, 1|2|347|5|6, 15|2|3|4|67, 1|25|3|46|7, 1|25|3|47|6, 1|2|356|4|7, 1|2|357|4|6, 1|26|3|45|7, 1|27|3|45|6, 16|2|3|4|57, 1|26|3|47|5, 1|2|367|4|5, 1|27|3|46|5, 17|2|3|4|56.
%Y A275290 Column k=5 of A275281.
%K A275290 nonn
%O A275290 5,2
%A A275290 _Alois P. Heinz_, Jul 22 2016