Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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