A115296 - OEIS

%I #4 Mar 30 2012 18:59:13

%S 1,0,1,0,1,1,0,0,2,1,0,0,1,2,1,0,0,0,2,2,1,0,0,0,1,3,2,1,0,0,0,0,2,3,

%T 2,1,0,0,0,0,1,3,3,2,1,0,0,0,0,0,2,4,3,2,1,0,0,0,0,0,1,3,4,3,2,1,0,0,

%U 0,0,0,0,2,4,4,3,2,1,0,0,0,0,0,0,1,3,5,4,3,2,1,0,0,0,0,0,0,0,2,4,5,4,3,2,1

%N Skew version of correlation triangle for constant sequence 1.

%C Row sums are A001399. Diagonal sums are A025795.

%F G.f.: 1/((1-x*y)*(1-x^2*y)*(1-x^3*y^2)); Number triangle T(n, k)=sum{j=0..k, [j<=n-k]*[j<=2k-n]}; T(n, k)=A003983(k, n-k).

%e Triangle begins

%e 1;

%e 0,1;

%e 0,1,1;

%e 0,0,2,1;

%e 0,0,1,2,1;

%e 0,0,0,2,2,1;

%e 0,0,0,1,3,2,1;

%e 0,0,0,0,2,3,2,1;

%K easy,nonn,tabl

%O 0,9

%A _Paul Barry_, Jan 19 2006