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A324068 Number of defective (binary) heaps on n elements where seven ancestor-successor pairs do not have the correct order. 2

%I #6 Feb 24 2019 15:39:17

%S 0,0,0,0,0,0,60,640,5040,39424,315840,2572800,22730400,207820800,

%T 1979577600,20119756800,180756576000,1740900761600,17732095180800,

%U 197872975872000,2123068147200000,24858537099264000,303091124244480000,4076808466857984000

%N Number of defective (binary) heaps on n elements where seven ancestor-successor pairs do not have the correct order.

%C Or number of permutations p of [n] having exactly seven pairs (i,j) in {1,...,n} X {1,...,floor(log_2(i))} such that p(i) > p(floor(i/2^j)).

%H Alois P. Heinz, <a href="/A324068/b324068.txt">Table of n, a(n) for n = 0..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>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Permutation">Permutation</a>

%Y Column k=7 of A306393.

%Y Cf. A056971.

%K nonn

%O 0,7

%A _Alois P. Heinz_, Feb 13 2019

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Last modified April 25 16:39 EDT 2024. Contains 371989 sequences. (Running on oeis4.)