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 A179580 Number of permutations of 1..n+5 with the number moved left exceeding the number moved right by n or more 1
 219, 534, 1236, 2774, 6109, 13290, 28670, 61466, 131135, 278638, 589992, 1245422, 2621761, 5505442, 11534866, 24117906, 50332451, 104858566, 218104956, 452986182, 939525669, 1946158874, 4026533926, 8321501514, 17179871879 (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..99 FORMULA Empirical: a(n)=8*a(n-1)-26*a(n-2)+44*a(n-3)-41*a(n-4)+20*a(n-5)-4*a(n-6) ; G.f.: -x*(-219+1218*x-2658*x^2+2866*x^3-1536*x^4+328*x^5) / ( (2*x-1)^2*(x-1)^4 ). Empirical: a(n) = (n+5)*(n^2-2*n-36)/6 +(n+7)*2^(n+4). - R. J. Mathar, May 26 2016 CROSSREFS Sequence in context: A361343 A192086 A256815 * A043435 A166836 A200827 Adjacent sequences: A179577 A179578 A179579 * A179581 A179582 A179583 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 June 5 19:44 EDT 2023. Contains 363138 sequences. (Running on oeis4.)