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A179582 Number of permutations of 1..n+7 with the number moved left exceeding the number moved right by n or more 1
13831, 54048, 197961, 693696, 2357108, 7835766, 25638762, 82915640, 265808957, 846445116, 2681461839, 8459737368, 26600930930, 83414901730, 260966701576, 814822256976, 2539718326051, 7903832697048, 24563299810981, 76240724337360 (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
FORMULA
Empirical: a(n)=20*a(n-1)-180*a(n-2)+964*a(n-3)-3422*a(n-4)+8484*a(n-5)-15068*a(n-6)+19324*a(n-7)-17769*a(n-8)+11432*a(n-9)-4888*a(n-10)+1248*a(n-11)-144*a(n-12) ; G.f.: -x*(-13831 +222572*x -1606581*x^2 +6869968*x^3 -19343578*x^4 +37665466*x^5 -51764756*x^6 +50222224*x^7 -33717440*x^8 +14922528*x^9 -3919680*x^10 +463104*x^11) / ( (-1+3*x)^2*(2*x-1)^4*(x-1)^6 )
CROSSREFS
Sequence in context: A250499 A013821 A013912 * A325886 A151642 A235004
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 21 14:41 EDT 2024. Contains 373547 sequences. (Running on oeis4.)