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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 March 27 05:46 EDT 2023. Contains 361554 sequences. (Running on oeis4.)