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Numbers of ways to place six indistinguishable points on an n X n square grid so that no four of them are vertices of a square of any orientation.
2

%I #16 Feb 20 2024 00:45:26

%S 32,6726,166702,1895938,13790212,74380406,322961410,1188292304,

%T 3835115230,11126671552,29549197210,72828900336,168386628278,

%U 368360769558,767733010896,1533170797506,2947620125778,5477517677094,9871827636572,17305042166112,29579923394356,49410229230976,80809088567212,129615220384928,204196987161028,316383511891814,482682961875178,725860819178050

%N Numbers of ways to place six indistinguishable points on an n X n square grid so that no four of them are vertices of a square of any orientation.

%F a(n) = (n^12 - 15*n^10 + 55*n^8 + 75*n^6)/720 + O(n^4).

%Y Cf. A240444, A240445.

%K nonn

%O 3,1

%A _Heinrich Ludwig_, May 09 2014

%E a(12)-a(14) from _Heinrich Ludwig_, Dec 01 2016

%E a(15)-a(30) from _Max Alekseyev_, Feb 19 2024