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%I #14 Oct 01 2013 19:01:48
%S 0,0,0,0,0,0,0,0,0,0,691,43688,1553322,41048184,900113808,17353890816,
%T 304617949952,4981087243264,77092396405248,1142386254729216,
%U 16347546554540544,227391442095863808,3090231533090021376,41195837323058675712,540459023153920671744
%N 1/512 the number of permutations of 0..n with exactly 6 maxima.
%C a(n) = A179709(n+1)/512.
%H Alois P. Heinz, <a href="/A130662/b130662.txt">Table of n, a(n) for n = 0..300</a>
%F G.f.: -x^10* (2090188800*x^10 -5075343360*x^9 +5480510976*x^8 -3456747648*x^7 +1407037152*x^6 -385459712*x^5 +71872912*x^4 -8997896*x^3 +723346*x^2 -33704*x+691) / ((12*x-1) *(10*x-1)^2 *(8*x-1)^3 *(6*x-1)^4 *(4*x-1)^5 *(2*x-1)^6). - _Alois P. Heinz_, Oct 01 2013
%Y Cf. A100575.
%K nonn
%O 0,11
%A _R. H. Hardin_, Aug 11 2007
%E a(20)-a(24) from _Alois P. Heinz_, Oct 01 2013
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