A322146 - OEIS

A322146

Number of permutations of 10 copies of 1..n with no element equal to another within a distance of 1.

1, 0, 2, 124948668, 174702663548149248, 2360719028641481267959955040, 211490077066069537208795610578715159120, 94446414948214202156311984061437135600678877848560

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..59

FORMULA

a(n) = n! * A321670(n).

a(n) = Integral_{0..infinity} (Sum_{k=1..10} (-1)^(10-k) * binomial(9, 10-k) * x^k/k!)^n * exp(-x) dx.

CROSSREFS

Row 10 of A322093.

Cf. A321670, A322127, A322128.

Sequence in context: A170998 A053823 A371643 * A262729 A034251 A230562

Adjacent sequences: A322143 A322144 A322145 * A322147 A322148 A322149

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 28 2018

STATUS

approved