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%I #7 Oct 14 2012 17:58:33
%S 1,7,55,319,1904,10275,56135,294386,1556323,8086433,42298721,
%T 219795160,1149139210,5999688692,31506046052,165664633982,
%U 875886376212,4643488263933,24746018418741,132328997879066,711142850556217,3836134976520394,20791024498584110
%N Number of self-inverse permutations in S_n with longest increasing subsequence of length 7.
%C Also the number of Young tableaux with n cells and 7 rows.
%H Alois P. Heinz, <a href="/A217327/b217327.txt">Table of n, a(n) for n = 7..400</a>
%F a(n) = A182172(n,7)-A182172(n,6) = A007578(n)-A007579(n).
%e a(7) = 1: 1234567.
%e a(8) = 7: 12345687, 12345768, 12346578, 12354678, 12435678, 13245678, 21345678.
%Y Column k=7 of A047884.
%Y Cf. A007578, A007579, A182172.
%K nonn
%O 7,2
%A _Alois P. Heinz_, Sep 30 2012
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