cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A063073 Square of determinant of character table of the dihedral group with 2n elements.

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%I A063073 #8 Aug 19 2015 07:04:39
%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="/A063073/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_, 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) ) } \\ _Harry J. Smith_, Aug 16 2009
%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_, Aug 16 2009