%I #11 Nov 15 2015 18:53:44

%S 1,1,1,1,1,2,0,1,1,3,0,5,0,0,1,1,4,0,11,0,5,4,0,0,0,1,1,5,0,19,0,21,

%T 10,0,9,5,5,0,0,0,0,1,1,6,0,29,0,49,20,21,35,21,15,0,28,0,0,6,0,0,0,0,

%U 0,1,1,7,0,41,0,92,35,84,90,56,91,42,134,0,0,21,28,20,14,0,0,7,0,0,0,0,0,0,1

%N Triangle read by rows: T(n>=0, 0<=k<=A161680(n)) is the number of standard tableaux of size n whose shape contains k attacking pairs.

%C Row sums give A000085.

%H Alois P. Heinz, <a href="/A263412/b263412.txt">Rows n = 0..50, flattened</a>

%H FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000016">The number of attacking pairs of a standard tableau</a>.

%e Triangle begins:

%e 1;

%e 1;

%e 1,1;

%e 1,2,0,1;

%e 1,3,0,5,0,0,1;

%e 1,4,0,11,0,5,4,0,0,0,1;

%e 1,5,0,19,0,21,10,0,9,5,5,0,0,0,0,1;

%e 1,6,0,29,0,49,20,21,35,21,15,0,28,0,0,6,0,0,0,0,0,1;

%e 1,7,0,41,0,92,35,84,90,56,91,42,134,0,0,21,28,20,14,0,0,7,0,0,0,0,0,0,1;

%e ...

%Y Cf. A000085, A161680.

%K nonn,tabf

%O 0,6

%A _Christian Stump_, Oct 17 2015

%E Two terms (for rows 0 and 1) prepended by _Alois P. Heinz_, Nov 15 2015