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Diagonal sums of a Chebyshev number triangle.
2

%I #5 Mar 30 2012 18:59:02

%S 1,2,3,5,10,24,64,182,542,1685,5473,18594,66063,245078,947057,3802469,

%T 15826392,68158314,303273906,1392503108,6590530876,32117814629,

%U 160998508095,829301391150,4385370872477,23786062734932,132224164567459

%N Diagonal sums of a Chebyshev number triangle.

%C Diagonal sums of number triangle A101161.

%F a(n)=sum{k=0..floor(n/2), if(k=n-k, 1, 2T(n-2k, (k+2)/2)) where T(n, k)=(n/2)sum{j=0..floor(n/2), C(n-j, j)(-1)^j*(2k)^(n-2j)}.

%Y Cf. A101162.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Dec 03 2004