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%I #4 Mar 31 2012 10:29:10
%S 14392910,1550244,2188523,2029381,2828486,1905576,2901300,1813327,
%T 3097897,2169409,2695559,1697839,3767494,1682771,2548638,2503246,
%U 3286048,1684275,3093051,1655317,3500693,2374117,2403536,1619568
%N (1/576)*number of ways to express n as the determinant of a 4 X 4 matrix with elements 1...16.
%C 0 can be expressed in a(0)*(4!)^2=8290316160 ways as the determinant of a 4 X 4 matrix which has elements 1...16. One such way is e.g. det ((1 2 3 4)(5 6 7 8)(9 10 11 12)(13 14 15 16))=0. All numbers between -38830 and +38830 can be expressed by such a determinant. The first number not expressible is given by A088216(4). The largest expressible number is given by A085000(4)=40800.
%H Hugo Pfoertner, <a href="/A136608/b136608.txt">Table of n, a(n) for n = 0..40800</a>
%H Hugo Pfoertner, <a href="http://www.randomwalk.de/sequences/a136608.pdf">Illustration of occurrence counts.</a> (Zoom into diagram to see details)
%H Hugo Pfoertner, <a href="http://www.randomwalk.de/sequences/a136608top.pdf">Illustration of occurrence counts.</a> Upper range.
%e a(40800)=1 because the only 4X4 matrices with elements 1...16 with the determinant 40800 are the 576 combinations of determinant-preserving row and column permutations of ((16 6 4 9)(8 13 11 1)(3 12 5 14)(7 2 15 10)).
%Y Cf. A088237 [numbers not expressible by 4X4 determinant], A088215, A088216, A085000, A136609.
%K fini,nonn
%O 0,1
%A _Hugo Pfoertner_, Jan 21 2008
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