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A190837
Number of permutations of 8 copies of 1..n introduced in order 1..n with no element equal to another within a distance of 1.
6
1, 0, 1, 400598, 1530622143864, 28920026907938624194, 2070756746775910218326948065, 459408385876250801291447710561829082, 271259741131895052775392614041761701799270286, 379065045836307787068046364731543393514652159389593652
OFFSET
0,4
LINKS
FORMULA
a(n) ~ sqrt(8) * 131072^n * n^(7*n) / (315^n * exp(7*n + 7)). - 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
..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1
..2....2....2....3....2....3....2....2....3....2....2....2....3....2....2....2
..3....3....3....1....3....1....1....1....1....1....1....3....1....3....3....3
..2....1....1....3....1....2....2....3....2....3....3....1....3....1....2....1
..3....3....2....1....2....1....3....2....3....1....1....3....1....3....3....2
..1....2....3....2....1....2....1....1....2....3....3....2....2....2....2....3
..3....1....1....1....3....1....2....3....3....2....1....1....3....3....3....2
..1....3....2....2....2....2....1....2....1....1....2....3....1....1....2....3
..2....1....1....1....3....3....3....1....3....3....1....2....3....3....3....1
..1....3....3....3....1....1....1....2....1....2....2....3....2....2....1....3
..2....2....1....2....3....3....2....3....3....3....3....2....3....3....2....2
..3....3....3....3....1....1....3....1....2....2....2....3....2....2....1....3
..1....1....2....2....3....3....2....3....1....3....3....1....1....3....2....1
..3....3....3....3....2....2....3....2....3....2....1....3....3....1....3....3
..2....2....1....1....3....3....1....3....2....1....2....1....2....3....1....2
..1....3....3....3....2....2....3....2....3....3....3....2....1....2....3....1
..3....2....2....2....3....1....1....1....2....2....2....1....2....3....1....2
..2....1....3....3....1....3....3....3....3....3....3....3....3....1....3....3
..3....2....1....2....2....2....2....1....2....1....1....1....2....2....1....1
..1....3....2....3....1....3....3....3....1....3....3....2....1....1....3....3
..2....2....3....1....3....2....2....2....2....2....2....3....3....2....2....2
..3....1....2....2....2....3....3....3....1....1....3....2....2....1....1....1
CROSSREFS
Sequence in context: A015424 A083634 A209910 * A205094 A234419 A096890
KEYWORD
nonn
AUTHOR
R. H. Hardin May 21 2011
EXTENSIONS
a(0)=1 prepended and a(7)-a(9) added by Seiichi Manyama, Nov 16 2018
STATUS
approved