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 A179574 Number of permutations of 1..n+7 with the number moved left exceeding the number moved right by n 1

%I #4 Mar 31 2012 12:35:45

%S 7736,34659,138022,511412,1807840,6188910,20713252,68199003,221845712,

%T 715077749,2288733954,7285025030,23085311544,72888488904,229435695984,

%U 720341436677,2256533814344,7054866364855,22017726215966,68606973122472

%N Number of permutations of 1..n+7 with the number moved left exceeding the number moved right by n

%C Recurrence would also extend to an a(0) if the definition were made to exclude the identity permutation

%H R. H. Hardin, <a href="/A179574/b179574.txt">Table of n, a(n) for n=1..32</a>

%F Empirical: a(n)=20*a(n-1)-180*a(n-2)+964*a(n-3)-3422*a(n-4)+8484*a(n-5)-15068*a(n-6)+19324*a(n-7)-17769*a(n-8)+11432*a(n-9)-4888*a(n-10)+1248*a(n-11)-144*a(n-12) ; G.f.: -x*(-7736 +120061*x -837322*x^2 +3467912*x^3 -9484876*x^4 +17996064*x^5 -24175460*x^6 +22995433*x^7 -15176808*x^8 +6618712*x^9 -1716576*x^10 +200592*x^11) ) / ( (-1+3*x)^2*(2*x-1)^4*(x-1)^6 )

%K nonn

%O 1,1

%A _R. H. Hardin_, g.f. from R. J. Mathar in the Sequence Fans Mailing List, Jul 19 2010

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Last modified June 2 00:00 EDT 2023. Contains 363078 sequences. (Running on oeis4.)