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Number of permutations of [n] such that for each cycle c the smallest integer interval containing all elements of c has at most eight elements.
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%I #6 Sep 20 2016 18:44:55

%S 1,1,2,6,24,120,720,5040,40320,181440,756000,3160080,13602600,

%T 60926580,285159966,1396646055,7158444465,35019420060,165994449732,

%U 774542703708,3596199290264,16729008975792,78297230499296,369560004222048,1760728654735744,8392003472443920

%N Number of permutations of [n] such that for each cycle c the smallest integer interval containing all elements of c has at most eight elements.

%H Alois P. Heinz, <a href="/A276842/b276842.txt">Table of n, a(n) for n = 0..1000</a>

%H Alois P. Heinz, <a href="/A276842/a276842.txt">G.f. for A276842</a>

%F G.f.: see link above.

%Y Column k=8 of A276837.

%Y Cf. A276724.

%K nonn,easy

%O 0,3

%A _Alois P. Heinz_, Sep 20 2016