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 A179571 Number of permutations of 1..n+4 with the number moved left exceeding the number moved right by n. 1
 31, 66, 134, 267, 529, 1048, 2080, 4137, 8243, 16446, 32842, 65623, 131173, 262260, 524420, 1048725, 2097319, 4194490, 8388814, 16777443, 33554681, 67109136, 134218024, 268435777, 536871259, 1073742198, 2147484050, 4294967727 (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)=5*a(n-1)-9*a(n-2)+7*a(n-3)-2*a(n-4) ; G.f.: -x*(-31+89*x-83*x^2+26*x^3) / ( (2*x-1)*(x-1)^3 ). Empirical: a(n) = (n^2+3*n-6)/2 +2^(n+4) = 2^(n+4)+A046691(n-1). - R. J. Mathar, May 26 2016 MATHEMATICA Drop[Accumulate[Table[BitSet[n, (n + 2)], {n, 0, 100}]], 2] (* Vladimir Joseph Stephan Orlovsky, Jul 19 2011 *) CROSSREFS Cf. A083706. Sequence in context: A247438 A132772 A116324 * A044133 A044514 A142110 Adjacent sequences: A179568 A179569 A179570 * A179572 A179573 A179574 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 1 03:55 EDT 2023. Contains 363068 sequences. (Running on oeis4.)