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

%I #6 May 14 2020 17:01:43

%S 0,2,15042,18059184,11195742340,5293792219344,2205450812336100,

%T 861515212667884608,324837276666570610668,119915580982794765091280,

%U 43656420088142545411963444,15735834864508561392982184160,5628506716816811122561964710428,2000722502787397537117555256499248

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

%H Andrew Howroyd, <a href="/A159730/b159730.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), [4])[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