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A number triangle with repeated columns of binomial coefficients.
1

%I #3 Mar 30 2012 18:59:07

%S 1,1,1,1,1,1,2,1,1,1,3,2,2,1,1,6,3,3,2,1,1,10,6,6,3,3,1,1,20,10,10,6,

%T 4,3,1,1,35,20,20,10,10,4,4,1,1,70,35,35,20,15,10,5,4,1,1,126,70,70,

%U 35,35,15,15,5,5,1,1,252,126,126,70,56,35,21,15,6,5,1,1,462,252,252,126,126

%N A number triangle with repeated columns of binomial coefficients.

%C Reversal of A096921. Row sums are A026010. Diagonal sums are 107250.

%F Number triangle T(n, k)=C(floor((2n-k-2)/2), floor((n-k)/2))

%e Triangle begins

%e 1;

%e 1,1;

%e 1,1,1;

%e 2,1,1,1;

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

%e 6,3,3,2,1,1;

%e 10,6,6,3,3,1,1;

%K easy,nonn,tabl

%O 0,7

%A _Paul Barry_, May 14 2005