|
%I #13 Dec 16 2016 02:36:50
%S 0,13,350314,20907473410813,15511088399276664432001386,
%T 371993307691696427796897697438711091311473,
%U 608281863896576961368925279207011528484342192328937893038299066,126886932185793156284194444673402758686090686637743899818927901378528905462568315856855357
%N Number of square n X n matrices containing the values 1 to n^2 that do not contain a row or column that appears in the matrix listing the n^2 values in order (left to right, top to bottom).
%H Math.Stackexchange.Com, Various Users, <a href="http://math.stackexchange.com/questions/1826109/">Inclusion-Exclusion, Matrices</a>~
%p A274229 :=
%p proc(n) (n^2)! + 2*add(binomial(n,k)^2*(-1)^k*k!*(n^2-k*n)!, k=1..n) + add(add((-1)^(k+j)*binomial(n,k)*binomial(n,j)*(n^2-n*(k+j)+k*j)!, j=1..n), k=1..n); end;
%K nonn
%O 1,2
%A _Marko Riedel_, Jun 14 2016
| 