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A332910
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Number of entries in the sixth cycles of all permutations of [n] when cycles are ordered by increasing lengths.
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2
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1, 43, 785, 14065, 234646, 3890624, 65790726, 1149152226, 20755593249, 389723127653, 7616467493381, 155034653456005, 3285524611730078, 72467273447829602, 1661985062849397148, 39610017536621076924, 979981089604037392299, 25145506663601266049403
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OFFSET
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6,2
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LINKS
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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
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MAPLE
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b:= proc(n, i, t) option remember; `if`(n=0, [1, 0], `if`(i>n, 0,
add((p-> p+`if`(t>0 and t-j<1, [0, p[1]*i], 0))((i-1)!^j*
b(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, 1, 6)[2]:
seq(a(n), n=6..23);
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CROSSREFS
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Column k=6 of A322383.
Sequence in context: A146979 A337904 A278174 * A157722 A010959 A161668
Adjacent sequences: A332907 A332908 A332909 * A332911 A332912 A332913
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz, Mar 02 2020
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STATUS
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approved
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