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%I #6 Feb 09 2019 21:20:28
%S 0,80,1526,34160,576060,8762880,123760560,1602344832,21025461600,
%T 264121228800,3365570435040,42633973724160,535972460752320,
%U 7005009151595520,88526770797830400,1212423433054986240,15530632515845568000,223695310100356300800,2930160761881213132800
%N Number of defective (binary) heaps on n elements with exactly six defects.
%C Or number of permutations p of [n] having exactly six indices i in {1,...,n} such that p(i) > p(floor(i/2)).
%H Alois P. Heinz, <a href="/A323962/b323962.txt">Table of n, a(n) for n = 6..200</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Heap.html">Heap</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Binary_heap">Binary heap</a>
%Y Column k=6 of A306343.
%Y Cf. A056971.
%K nonn
%O 6,2
%A _Alois P. Heinz_, Feb 09 2019
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