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Number triangle associated with the Riordan arrays (1/(1+x),x/(1+x)^k),k>=0.
2

%I #4 Mar 30 2012 18:59:07

%S 1,2,1,2,2,1,2,4,2,1,2,8,6,2,1,2,16,20,8,2,1,2,32,70,38,10,2,1,2,64,

%T 252,196,62,12,2,1,2,128,924,1062,426,92,14,2,1,2,256,3432,5948,3112,

%U 792,128,16,2,1,2,512,12870,34120,23686,7302,1326,170,18,2,1,2,1024,48620

%N Number triangle associated with the Riordan arrays (1/(1+x),x/(1+x)^k),k>=0.

%F Number triangle T(n, k)=(k-1)*C(k(n-k), n-k)-(k-2)*sum{j=0..n-k, C(k(n-k), j)}

%e Triangle begins

%e 1;

%e 2,1;

%e 2,2,1;

%e 2,4,2,1;

%e 2,8,6,2,1;

%e 2,16,20,8,2,1;

%Y Reversal of A107027. Row sums are A107028. Diagonal sums are A107031. Columns include A040000, A000079, A000984, A047098.

%K easy,nonn,tabl

%O 0,2

%A _Paul Barry_, May 09 2005