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A179582 Number of permutations of 1..n+7 with the number moved left exceeding the number moved right by n or more 1

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

%S 13831,54048,197961,693696,2357108,7835766,25638762,82915640,

%T 265808957,846445116,2681461839,8459737368,26600930930,83414901730,

%U 260966701576,814822256976,2539718326051,7903832697048,24563299810981,76240724337360

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

%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="/A179582/b179582.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*(-13831 +222572*x -1606581*x^2 +6869968*x^3 -19343578*x^4 +37665466*x^5 -51764756*x^6 +50222224*x^7 -33717440*x^8 +14922528*x^9 -3919680*x^10 +463104*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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