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A108477 A symmetric number triangle based on 2^n. 2

%I #3 Mar 30 2012 18:59:08

%S 1,1,1,1,13,1,1,41,41,1,1,85,321,85,1,1,145,1289,1289,145,1,1,221,

%T 3649,8989,3649,221,1,1,313,8361,40081,40081,8361,313,1,1,421,16641,

%U 134245,265729,134245,16641,421,1,1,545,29961,369305,1256465,1256465,369305

%N A symmetric number triangle based on 2^n.

%C Row sums are A108475. Diagonal sums are A108478.

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

%e Rows begin

%e 1;

%e 1,1;

%e 1,13,1;

%e 1,41,41,1;

%e 1,85,321,85,1;

%e 1,145,1289,1289,145,1;

%K easy,nonn,tabl

%O 0,5

%A _Paul Barry_, Jun 04 2005

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Last modified April 24 19:52 EDT 2024. Contains 371963 sequences. (Running on oeis4.)