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%I #10 Oct 01 2013 19:24:43
%S 0,0,0,0,0,0,0,0,0,0,0,0,10922,929569,43800104,1513315264,42878777216,
%T 1057229805952,23518119959040,483438472237056,9338507684459520,
%U 171607973968784640,3027838101326610432,51660428017842610176,857132463549737238528
%N 1/2048 the number of permutations of 0..n having exactly 7 maxima.
%C a(n) = A179710(n+1)/2048.
%H Alois P. Heinz, <a href="/A130663/b130663.txt">Table of n, a(n) for n = 0..300</a>
%F G.f.: -x^12* (264868724736000*x^15 -891839368396800*x^14 +1387289679298560*x^13 -1320505755697152*x^12 +859006229078016*x^11 -404049277108224*x^10 +141829511625984*x^9 -37804275799552*x^8 +7710418349056*x^7 -1202843456128*x^6 +142319143104*x^5 -12540195936*x^4 +796479552*x^3 -34424192*x^2 +905327*x -10922) / ((14*x-1) *(12*x-1)^2 *(10*x-1)^3 *(8*x-1)^4 *(6*x-1)^5 *(4*x-1)^6 *(2*x-1)^7). - _Alois P. Heinz_, Oct 01 2013
%Y Cf. A100575.
%K nonn
%O 0,13
%A _R. H. Hardin_, Aug 11 2007
%E a(20)-a(24) from _Alois P. Heinz_, Oct 01 2013
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