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.

A097696 Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n.

This page as a plain text file.
%I A097696 #6 Jan 10 2013 13:17:49
%S A097696 7343,8784,12065,16800,21600,26400,31200,36000,40800,45600,50400,
%T A097696 55200,60000,64800,69600,74400,79200,84000,88800,93600,98400,103200,
%U A097696 108000,112800,117600,122400,127200,132000,136800,141600,146400,151200,156000
%N A097696 Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n.
%F A097696 For n>10 an arrangement maximizing the determinant is of the following form: det((n, n-9, n-13, n-8), (n-12, n-1, n-11, n-5), (n-7, n-6, n-2, n-15), (n-10, n-14, n-4, n-3)) =2400*(2*n-15). a(n)=a(15-n) for n<8.
%F A097696 Empirical G.f.: x^8*(65*x^4+1454*x^3+1840*x^2-5902*x+7343) / (x-1)^2. [_Colin Barker_, Jan 10 2013]
%Y A097696 Other maximal 4 X 4 determinants: Cf. A097694: 4 X 4 matrix filled with integers from 0...n, A097695: 4 X 4 matrix filled with integers from -n...n. A097399, A097401, A097693: corresponding sequences for 3 X 3 matrices. a(16)=A085000(4).
%K A097696 nonn
%O A097696 8,1
%A A097696 _Hugo Pfoertner_, Aug 25 2004