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A190923 Number of permutations of n copies of 1..6 introduced in order 1..6 with no element equal to another within a distance of 1 8

%I #16 Nov 24 2018 09:03:10

%S 1,3655,22831355,182502973885,1681287695542855,16985819072511102549,

%T 183095824753841610373405,2070756746775910218326948065,

%U 24302858067615766089801166488125,293736218147318801678882792470437721

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

%H Seiichi Manyama, <a href="/A190923/b190923.txt">Table of n, a(n) for n = 1..240</a> (terms 1..35 from R. H. Hardin)

%F a(n) ~ 9 * 5^(6*n-2) / (128 * sqrt(2) * Pi^(5/2) * n^(5/2)). - _Vaclav Kotesovec_, Nov 24 2018

%e Some solutions for n=2

%e ..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1

%e ..2....2....2....2....2....2....2....2....2....2....2....2....2....2....2....2

%e ..3....3....3....3....3....3....3....3....3....3....3....3....3....3....3....3

%e ..4....2....4....4....4....2....4....4....4....4....4....4....4....4....4....4

%e ..5....4....5....5....5....4....1....5....5....2....5....1....5....5....1....3

%e ..1....5....4....3....3....1....3....4....2....5....6....4....6....6....5....4

%e ..4....6....2....2....6....4....5....5....4....6....1....5....3....2....2....2

%e ..5....3....1....6....5....5....6....1....5....5....5....6....2....6....6....5

%e ..2....5....6....5....6....3....5....6....3....3....3....2....6....3....3....1

%e ..6....6....5....6....2....6....4....3....6....4....6....5....4....1....6....6

%e ..3....1....6....1....1....5....2....6....1....1....2....6....5....4....5....5

%e ..6....4....3....4....4....6....6....2....6....6....4....3....1....5....4....6

%Y Cf. A000012 (b=2), A190917 (b=3), A190918 (b=4), A190920 (b=5), A190927 (b=7), A190932 (b=8), A321987 (b=9).

%K nonn

%O 1,2

%A _R. H. Hardin_ May 23 2011

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Last modified September 12 21:40 EDT 2024. Contains 375855 sequences. (Running on oeis4.)