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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
7736, 34659, 138022, 511412, 1807840, 6188910, 20713252, 68199003, 221845712, 715077749, 2288733954, 7285025030, 23085311544, 72888488904, 229435695984, 720341436677, 2256533814344, 7054866364855, 22017726215966, 68606973122472 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

R. H. Hardin, Table of n, a(n) for n=1..32

FORMULA

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 )

CROSSREFS

Sequence in context: A092004 A278019 A146960 * A229419 A116239 A094400

Adjacent sequences:  A179571 A179572 A179573 * A179575 A179576 A179577

KEYWORD

nonn

AUTHOR

R. H. Hardin, g.f. from R. J. Mathar in the Sequence Fans Mailing List, Jul 19 2010

STATUS

approved

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Last modified August 7 23:38 EDT 2020. Contains 336279 sequences. (Running on oeis4.)