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Number of permutations of 4 indistinguishable copies of 1..n arranged in a circle with exactly 3 local maxima.
1

%I #6 May 14 2020 17:00:08

%S 0,24,13896,3347088,595973360,93992305032,14015268159704,

%T 2027725518697376,287867804621478048,40320948446041301720,

%U 5589326195307268168392,768314046269046341078064,104876358654665681729030736,14230976452809572524526026408,1921184312523441298037576065080

%N Number of permutations of 4 indistinguishable copies of 1..n arranged in a circle with exactly 3 local maxima.

%H Andrew Howroyd, <a href="/A159729/b159729.txt">Table of n, a(n) for n = 1..200</a>

%o (PARI) \\ CircPeaksBySig defined in A334778.

%o a(n) = {CircPeaksBySig(vector(n, i, 4), [3])[1]} \\ _Andrew Howroyd_, May 14 2020

%Y Cf. A159727, A159728, A334778.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 20 2009

%E Terms a(7) and beyond from _Andrew Howroyd_, May 14 2020