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 A332859 Number of entries in the tenth cycles of all permutations of [n] when cycles are ordered by decreasing lengths. 2
 1, 56, 1992, 58566, 1569387, 40210458, 1011778943, 25407870031, 643294838111, 16530707226038, 433032539982493, 11597633757170403, 318186179384754262, 8953723541105483282, 258628065642282683675, 7671629851218367059371, 233734404206144319940526 (list; graph; refs; listen; history; text; internal format)
 OFFSET 10,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 10..450 Andrew V. Sills, Integer Partitions Probability Distributions, arXiv:1912.05306 [math.CO], 2019. Wikipedia, Permutation MAPLE b:= proc(n, l) option remember; `if`(n=0, l[10], add((j-1)!*b(n-j, sort([l[], j], `>`)[1..10])*binomial(n-1, j-1), j=1..n)) end: a:= n-> b(n, [0\$10]): seq(a(n), n=10..27); MATHEMATICA b[n_, l_] := b[n, l] = If[n == 0, l[[10]], Sum[(j-1)!*b[n-j, ReverseSort[ Append[l, j]][[1 ;; 10]]] Binomial[n - 1, j - 1], {j, 1, n}]]; a[n_] := b[n, Table[0, {10}]]; a /@ Range[10, 27] (* Jean-François Alcover, Mar 01 2020, after Alois P. Heinz *) CROSSREFS Column k=10 of A322384. Sequence in context: A038649 A004375 A103726 * A004387 A111597 A111781 Adjacent sequences: A332856 A332857 A332858 * A332860 A332861 A332862 KEYWORD nonn AUTHOR Alois P. Heinz, Feb 26 2020 STATUS approved

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Last modified August 6 15:42 EDT 2024. Contains 374974 sequences. (Running on oeis4.)