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.
%I A109520 #2 Mar 30 2012 17:34:19 %S A109520 -1,-2,-14,-180,-3344,-80750,-2394792,-84150248,-3417051136, %T A109520 -157409163162,-8109659900000,-462005414448732,-28837128777928704, %U A109520 -1956971256267512966,-143459789419986793600,-11297467798871681250000,-951158499840260908777472 %N A109520 a(n)=the (1,2)-entry of the n-th power of the 2 X 2 matrix [0,-1;n-1,2*(n-1)]. %C A109520 The (1,2)-entry of the n-th power of the 2 X 2 matrix [0,1;1,1] is the Fibonacci number A000045(n). %e A109520 a(4)=-180 because if M is the 2 X 2 matrix [0,-1;3,6], then M^4 is the 2 X 2 matrix [ -99,-180,540,981]. %p A109520 with(linalg): a:=proc(n) local A,k: A[1]:=matrix(2,2,[0,-1,n-1,2*(n-1)]): for k from 2 to n do A[k]:=multiply(A[k-1],A[1]) od: A[n][1,2] end: seq(a(n),n=1..19); %t A109520 M[n_] = If[n > 1, MatrixPower[{{0, -1}, {n - 1, 2*(n - 1)}}, n], {{0, 1}, {1, 1}}] a = Table[Abs[M[n][[1, 2]]], {n, 1, 50}] %Y A109520 Cf. A000045, A000166. %K A109520 sign %O A109520 1,2 %A A109520 _Roger L. Bagula_, Jun 16 2005