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 A332855 Number of entries in the sixth cycles of all permutations of [n] when cycles are ordered by decreasing lengths. 2
 1, 22, 351, 5119, 73639, 1079354, 16379573, 259470719, 4307274362, 75030122026, 1371391459821, 26279686081517, 527342512678490, 11066063071281662, 242501869570679674, 5541839758896671994, 131891449988832738324, 3264575304106660189788, 83932189324072639925142 (list; graph; refs; listen; history; text; internal format)
 OFFSET 6,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 6..450 Andrew V. Sills, Integer Partitions Probability Distributions, arXiv:1912.05306 [math.CO], 2019. Wikipedia, Permutation MAPLE b:= proc(n, i, t) option remember; `if`(n=0, [1, 0], `if`(i<1, 0, add((p-> p+`if`(t>0 and t-j<1, [0, p[1]*i], 0))((i-1)!^j* b(n-i*j, min(n-i*j, i-1), max(0, t-j))/j!* combinat[multinomial](n, i\$j, n-i*j)), j=0..n/i))) end: a:= n-> b(n\$2, 6)[2]: seq(a(n), n=6..24); CROSSREFS Column k=6 of A322384. Sequence in context: A103722 A100904 A036738 * A054940 A016265 A208458 Adjacent sequences: A332852 A332853 A332854 * A332856 A332857 A332858 KEYWORD nonn AUTHOR Alois P. Heinz, Feb 26 2020 STATUS approved

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Last modified August 11 10:50 EDT 2024. Contains 375068 sequences. (Running on oeis4.)