A190836 - OEIS

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A190836

Number of permutations of 7 copies of 1..n introduced in order 1..n with no element equal to another within a distance of 1.

1, 0, 1, 56620, 22875971289, 36533294879349056, 183095824753841610373405, 2421032324142610480402567434373, 74115215422015289392187745053216373265, 4749303210651587675797285013227098386984170468, 588242979144354234332728292738493758656488275002948671

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

OFFSET

0,4

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..88 (terms 1..11 from R. J. Mathar)

FORMULA

a(n) ~ sqrt(7) * 117649^n * n^(6*n) / (720^n * exp(6*n + 6)). - Vaclav Kotesovec, Nov 24 2018

EXAMPLE

Some solutions for n=3

..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1

..2....2....2....2....2....2....2....2....2....2....2....2....2....2....2....2

..3....1....3....3....3....3....1....3....3....1....1....1....3....1....3....1

..1....3....1....1....2....2....3....2....2....2....3....2....1....3....2....3

..2....1....2....2....3....3....2....3....1....3....2....1....3....1....3....2

..3....2....3....3....2....1....1....1....3....1....3....3....1....2....1....3

..1....3....2....1....1....3....2....3....1....3....1....1....3....1....2....2

..2....2....1....3....3....1....3....2....2....2....3....2....1....3....3....3

..3....3....2....1....1....2....1....1....3....3....2....3....3....1....2....1

..1....2....3....3....2....1....3....2....2....1....3....1....2....2....1....3

..3....1....1....2....3....3....2....3....3....2....1....2....1....3....3....1

..2....3....2....3....1....1....1....2....2....3....3....1....2....1....1....3

..3....2....3....1....3....3....3....1....3....1....2....3....3....3....2....2

..1....3....2....2....2....2....2....3....1....2....3....2....2....1....1....1

..2....1....3....1....1....3....1....2....3....3....2....3....3....2....3....2

..1....2....2....2....3....2....3....1....1....1....1....1....2....3....1....3

..2....1....1....3....1....3....2....3....3....2....2....3....3....2....2....2

..3....3....3....2....3....2....3....1....1....3....1....2....2....3....3....1

..1....1....1....3....2....1....2....3....2....2....2....3....1....2....1....2

..2....2....3....1....1....2....1....1....1....3....3....2....2....3....3....1

..3....3....1....2....2....1....3....2....2....1....1....3....1....2....2....3

CROSSREFS

Sequence in context: A374501 A202433 A329270 * A288076 A031683 A202568

Adjacent sequences: A190833 A190834 A190835 * A190837 A190838 A190839

KEYWORD

nonn

AUTHOR

R. H. Hardin May 21 2011

EXTENSIONS

a(0)=1 prepended by Seiichi Manyama, Nov 16 2018

STATUS

approved