A190835 Number of permutations of 6 copies of 1..n introduced in order 1..n with no element equal to another within a distance of 1.

1, 0, 1, 8142, 351574834, 47940557125969, 16985819072511102549, 13519747358522016160671387, 21671513613423101256198918372909, 64311863997340571475504065539218471107, 330586922756304429697714946501284146322953006

Offset

0,4

Links

Seiichi Manyama, Table of n, a(n) for n = 0..100 (terms 1..14 from R. J. Mathar)

Formula

a(n) ~ sqrt(6) * 324^n * n^(5*n) / (5^n * exp(5*n + 5)). - 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....3....1....3....1....3....3....3....1....1....3....3....3....3....3....3
..2....2....3....2....3....2....2....1....2....3....1....1....2....2....2....1
..1....3....2....3....2....1....3....3....1....2....3....3....3....3....1....2
..2....1....3....1....3....3....1....2....3....3....2....2....2....1....3....1
..3....2....1....2....1....2....3....3....1....2....3....3....1....2....2....2
..2....1....3....3....3....1....2....2....3....3....1....1....3....3....3....3
..3....2....2....1....2....2....1....3....2....2....2....3....1....2....2....2
..1....3....3....3....3....3....2....1....3....1....1....1....3....1....1....1
..3....1....2....2....2....1....1....3....2....3....2....2....2....3....3....3
..1....2....1....3....1....3....2....1....3....1....1....3....1....2....1....1
..3....3....2....2....3....1....1....2....2....2....3....2....2....1....2....2
..1....1....3....1....2....3....3....3....1....3....2....3....1....3....1....3
..2....3....2....3....1....2....1....1....2....1....1....2....3....1....2....2
..3....1....1....1....2....1....3....2....3....3....3....1....1....2....3....3
..1....3....3....2....3....2....2....1....1....2....2....2....2....1....1....1
..2....2....1....1....1....3....3....2....3....1....3....1....3....3....3....3

Crossrefs

Sequence in context: A252144 A201802 A233814 * A013689 A252914 A230785

Adjacent sequences: A190832 A190833 A190834 * A190836 A190837 A190838

Keyword

nonn

Author

R. H. Hardin May 21 2011

Extensions

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

Status

approved