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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
OFFSET
6,2
LINKS
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 02 2020
STATUS
approved