%I #3 Mar 30 2012 18:59:02
%S 1,-3,1,4,-3,1,-4,4,-3,1,4,-4,4,-3,1,-4,4,-4,4,-3,1,4,-4,4,-4,4,-3,1,
%T -4,4,-4,4,-4,4,-3,1,4,-4,4,-4,4,-4,4,-3,1,-4,4,-4,4,-4,4,-4,4,-3,1,4,
%U -4,4,-4,4,-4,4,-4,4,-3,1,-4,4,-4,4,-4,4,-4,4,-4,4,-3,1,4,-4,4,-4
%N Inverse to sequence matrix for odd numbers.
%C Riordan matrix ((1-x)^2/(1+x), x). Inverse matrix is A099375 Row sums yield (-1)^n*A040000. Diagonal sums are (-1)(2n+1)=(-1)^n*A005408.
%F Number triangle T(n, k)=if(k<=n, 4(-1)^(n-k)-3*0^(n-k)+C(1, n-k)-C(0, n-k), 0)
%e Rows begin {1}, {-3,1}, {4,-3,1}, {-4,4,-3,1}, {4,-4,4,-3,1},...
%K easy,sign,tabl
%O 0,2
%A _Paul Barry_, Jan 22 2005