|
%I #3 Mar 30 2012 18:59:07
%S 1,1,1,0,2,1,0,3,3,1,0,4,8,4,1,0,5,15,15,5,1,0,6,27,36,24,6,1,0,7,42,
%T 84,70,35,7,1,0,8,64,160,200,120,48,8,1,0,9,90,300,450,405,189,63,9,1,
%U 0,10,125,500,1000,1050,735,280,80,10,1,0,11,165,825,1925,2695,2156,1232,396
%N A Chebyshev transform of number triangle A107230.
%C Product of the number triangle A107230 by the Riordan array ((1-x^2)/(1+x^2),x/(1+x^2)). First column if C(1,n), second column is n (A001477), third column is essentially A034828.
%F Number triangle T(n, k)=sum{j=0..floor(n/2), (n/(n-j))(-1)^j*C(n-j, j)*A107230(n-2j, k)} (with T(0, n)=0^n).
%e Triangle begins
%e 1;
%e 1,1;
%e 0,2,1;
%e 0,3,3,1;
%e 0,4,8,4,1;
%e 0,5,15,15,5,1;
%K easy,nonn,tabl
%O 0,5
%A _Paul Barry_, May 14 2005
|
