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A179572 Number of permutations of 1..n+5 with the number moved left exceeding the number moved right by n 1
146, 392, 960, 2235, 5050, 11198, 24520, 53209, 114674, 245780, 524352, 1114231, 2359482, 4981002, 10486120, 22020565, 46137938, 96469728, 201327488, 419431475, 872416506, 1811940822, 3758098120, 7784630225, 16106129650, 33285999148 (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*(-146+776*x-1620*x^2+1677*x^3-868*x^4+180*x^5) / ( (2*x-1)^2*(x-1)^4 ).

Empirical: a(n) = (n+5)*2^(n+4) + (n+5)*(n^2-5*n-42)/6. - R. J. Mathar, May 26 2016

CROSSREFS

Sequence in context: A118699 A238579 A238028 * A211838 A158132 A043431

Adjacent sequences:  A179569 A179570 A179571 * A179573 A179574 A179575

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 06:02 EDT 2020. Contains 336274 sequences. (Running on oeis4.)