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1/8 of the number of permutations of 3 indistinguishable copies of 1..n with exactly 6 local maxima.
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%I #7 May 12 2020 12:55:24

%S 0,0,0,925,5134608,7080780596,5503883684118,3175651343215500,

%T 1543855504958661492,676391857775294288488,277604477433374392213008,

%U 109265969423431070616562496,41856404659462959845867172864,15752452465692536904424614273024,5860017184412283112523269770190848

%N 1/8 of the number of permutations of 3 indistinguishable copies of 1..n with exactly 6 local maxima.

%H Andrew Howroyd, <a href="/A152503/b152503.txt">Table of n, a(n) for n = 1..200</a>

%o (PARI) \\ PeaksBySig defined in A334774.

%o a(n) = {PeaksBySig(vector(n,i,3), [5])[1]/8} \\ _Andrew Howroyd_, May 12 2020

%Y Cf. A152499, A334774.

%K nonn

%O 1,4

%A _R. H. Hardin_, Dec 06 2008

%E Terms a(9) and beyond from _Andrew Howroyd_, May 12 2020