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%I #10 Nov 27 2015 00:35:48
%S 24,144,13896,842400,36604920,2333944368,126441557448,6680853691200,
%T 387982670513688,20676854461594320,1158249535425969384,
%U 63778918790403180000,3507499386329443453752,194248225087593045241968
%N Determinant of power series with alternate signs of gamma matrix with determinant 4!.
%C a(n) = Determinant(A - A^2 + A^3 - A^4 + A^5 - ... - (-1)^n*A^n)
%C where A is the submatrix A(1..5,1..5) of the matrix with factorial determinant
%C A = [[1,1,1,1,1,1,...], [1,2,1,2,1,2,...], [1,2,3,1,2,3,...], [1,2,3,4,1,2,...], [1,2,3,4,5,1,...], [1,2,3,4,5,6,...], ...]; note: Determinant A(1..n,1..n) = (n-1)!.
%D G. Balzarotti and P. P. Lava, Le sequenze di numeri interi, Hoepli, 2008.
%e a(1) = Determinant(A) = 4! = 24.
%p seq(Determinant(sum(A^i*(-1)^(i-1),i=1..n)),n=1..30);
%Y Cf. A111490, A158040-A158046.
%K nonn
%O 0,1
%A _Giorgio Balzarotti_ & _Paolo P. Lava_, Mar 11 2009
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