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A179573 Number of permutations of 1..n+6 with the number moved left exceeding the number moved right by n 1
1289, 4859, 16615, 53830, 168994, 520598, 1585390, 4794375, 14437999, 43373253, 130121945, 390106124, 1169206896, 3504084520, 10502294920, 31480673141, 94375961733, 282966406751, 848513346011, 2544634069346, 7631805056014 (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..45

FORMULA

Empirical: a(n)=14*a(n-1)-85*a(n-2)+294*a(n-3)-639*a(n-4)+906*a(n-5)-839*a(n-6)+490*a(n-7)-164*a(n-8)+24*a(n-9) ; G.f.: -x*(1289-13187*x+58154*x^2-144731*x^3+222774*x^4-217511*x^5+131690*x^6-45220*x^7+6744*x^8) / ( (-1+3*x)*(2*x-1)^3*(x-1)^5 ).

Empirical: a(n) = 3^(n+6) +(n+6)*(n^3-12*n^2-133*n-192)/24 +(n^2-n-50)*2^(n+3). - R. J. Mathar, May 26 2016

CROSSREFS

Sequence in context: A140914 A239436 A239939 * A264243 A020401 A106816

Adjacent sequences:  A179570 A179571 A179572 * A179574 A179575 A179576

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 14 13:47 EDT 2020. Contains 336481 sequences. (Running on oeis4.)