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Row sums of triangle A390419.
1

%I #27 Dec 14 2025 20:53:36

%S 2,1,3,17,185,2643,45521,913193,21782151,1118969979,396000518175,

%T 269893909626817,210000497997408885,181136297531929207049,

%U 173216689198993063789205,185353943205334042472424899,299074631560917896394161053253,3934166250454684367660522861367521

%N Row sums of triangle A390419.

%C a(n) is the total number of ways to place non-attacking kings on an n X n board such that each row contains the same number of kings.

%H Hamidreza Maleki Tirabadi, <a href="/A390406/b390406.txt">Table of n, a(n) for n = 1..31</a>

%F a(n) = Sum_{k=0..floor((n+1)/4)+[n=1]} A390419(n, k).

%Y Cf. A390419.

%K nonn

%O 1,1

%A _Hamidreza Maleki Tirabadi_, Dec 07 2025