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A332910 Number of entries in the sixth cycles of all permutations of [n] when cycles are ordered by increasing lengths. 2
1, 43, 785, 14065, 234646, 3890624, 65790726, 1149152226, 20755593249, 389723127653, 7616467493381, 155034653456005, 3285524611730078, 72467273447829602, 1661985062849397148, 39610017536621076924, 979981089604037392299, 25145506663601266049403 (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>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);

CROSSREFS

Column k=6 of A322383.

Sequence in context: A146979 A337904 A278174 * A157722 A010959 A161668

Adjacent sequences: A332907 A332908 A332909 * A332911 A332912 A332913

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 02 2020

STATUS

approved

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Last modified February 1 14:29 EST 2023. Contains 359993 sequences. (Running on oeis4.)