|
%I #2 Mar 30 2012 18:59:22
%S 1,0,1,0,1,1,0,-1,2,1,1,-1,-1,3,1,0,2,-4,0,4,1,0,2,2,-8,2,5,1,0,-2,8,
%T -2,-12,5,6,1,1,-2,-2,18,-12,-15,9,7,1,0,3,-12,8,28,-29,-16,14,8,1,0,
%U 3,3,-32,38,31,-53,-14,20,9,1
%N Riordan array (1/(1-x^4), x(1+x)/(1+x^2)).
%C Row sums are A008619. Diagonal sums are A103221. Equal to A154948 times inverse of A007318.
%F Triangle T(n,k)=sum{i=0..n, sum{j=0..n+1, C(n+1-j,i+1)*C(i-1,j)}*(-1)^(i-k)*C(i,k)}.
%e Triangle begins
%e 1,
%e 0, 1,
%e 0, 1, 1,
%e 0, -1, 2, 1,
%e 1, -1, -1, 3, 1,
%e 0, 2, -4, 0, 4, 1,
%e 0, 2, 2, -8, 2, 5, 1,
%e 0, -2, 8, -2, -12, 5, 6, 1,
%e 1, -2, -2, 18, -12, -15, 9, 7, 1
%K easy,sign,tabl
%O 0,9
%A _Paul Barry_, Jan 17 2009
|
