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A109221 A number triangle related to the Fibonacci polynomials. 2

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

%S 1,1,1,1,1,1,1,1,3,1,1,1,5,3,1,1,1,7,5,6,1,1,1,9,7,15,6,1,1,1,11,9,28,

%T 15,10,1,1,1,13,11,45,28,35,10,1,1,1,15,13,66,45,84,35,15,1,1,1,17,15,

%U 91,66,165,84,70,15,1,1,1,19,17,120,91,286,165,210,70,21,1,1,1,21,19

%N A number triangle related to the Fibonacci polynomials.

%C The repeated columns are made up by taking every second element of columns in A011973. Row sums are A109222.

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

%e Rows begin

%e 1;

%e 1,1;

%e 1,1,1;

%e 1,1,3,1;

%e 1,1,5,3,1;

%e 1,1,7,5,6,1;

%K easy,nonn,tabl

%O 0,9

%A _Paul Barry_, Jun 22 2005

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)