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%I #4 Jun 06 2013 12:51:44
%S 1,2,6,24,120,720,5040,40320,362878,3627778,39830282,475089392,
%T 6094561180,83333937940,1205398303180,18331873363480,291706615484450,
%U 4838414115229430,83404373736108502,1490681666580459304
%N Number of permutations of 1..n with fewer than 7 interior elements having values lying between the values of their neighbors
%C Column 7 of A226441
%H R. H. Hardin, <a href="/A226440/b226440.txt">Table of n, a(n) for n = 1..206</a>
%e Some solutions for n=7
%e ..2....2....2....1....7....2....6....4....2....2....7....1....1....4....6....4
%e ..5....3....1....7....4....3....7....2....1....7....3....3....5....3....3....5
%e ..3....7....6....2....5....6....2....1....5....6....5....4....4....2....2....6
%e ..4....1....4....4....2....7....1....5....6....4....6....6....7....1....4....2
%e ..7....4....3....3....3....4....4....3....4....5....2....7....3....5....7....3
%e ..1....6....5....5....6....1....5....6....3....3....1....2....2....6....1....7
%e ..6....5....7....6....1....5....3....7....7....1....4....5....6....7....5....1
%K nonn
%O 1,2
%A _R. H. Hardin_ Jun 06 2013
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