%I A063073
%S A063073 4,256,36,4096,500,82944,9604,2097152,236196,64000000,7086244,
%T A063073 2293235712,250994068,94450499584,10251562500,4398046511104,
%U A063073 474351505988,228509902503936,24524265031204,13107200000000000
%N A063073 Square of determinant of character table of the dihedral group with 2n 
               elements.
%C A063073 For any finite group G with order n we have that if A is the character 
               table then |det(A)|^2 = product i (n/c(i)) where the product is over 
               the conjugacy classes of G: c(i), so by this formula the square of 
               the determinant is an integer (in the case of dihedral groups the 
               characters are real).
%H A063073 Harry J. Smith, <a href="b063073.txt">Table of n, a(n) for n=1,...,200</
               a>
%F A063073 a(n) = 4 * n^((n+1)/2) if n odd, a(n)= 64 * n^((n+2)/2) if n even. - 
               Paul Boddington (psb(AT)maths.warwick.ac.uk), Oct 22 2003
%o A063073 (PARI) { for (n=1, 200, if (n%2, a=4 * n^((n+1)/2), a=64 * n^((n+2)/2)); 
               write("b063073.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Aug 16 2009]
%Y A063073 Sequence in context: A091792 A090602 A087587 this_sequence A093760 A062075 
               A013734
%Y A063073 Adjacent sequences: A063070 A063071 A063072 this_sequence A063074 A063075 
               A063076
%K A063073 nonn
%O A063073 1,1
%A A063073 Ahmed Fares (ahmedfares(AT)my-deja.com), Aug 03 2001
%E A063073 Missing term included and more terms added by Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Aug 16 2009