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A123265 Fibonacci-Lucas triangle read by rows. 1

%I #5 Sep 08 2013 13:30:57

%S 2,1,2,3,3,2,4,8,5,2,7,15,15,7,2,11,30,35,24,9,2,18,56,80,66,35,11,2,

%T 29,104,171,170,110,48,13,2,47,189,355,407,315,169,63,15,2,76,340,715,

%U 932,832,532,245,80,17,2

%N Fibonacci-Lucas triangle read by rows.

%C As a Riordan array, this is ((2-x)/(1-x-x^2),x/(1-x-x^2)) . Row sums form A078343, diagonals sums form A014551.

%F T(n,k)=T(n-1,k-1)+T(n-1,k)+T(n-2,k), T(0,0)=2, T(1,0)=1, T(n,k)=0 if k<0 or if k>n . T(n,0)=L(n)=A000032(n),Lucas numbers.

%e Triangle begins:

%e 2;

%e 1, 2;

%e 3, 3, 2;

%e 4, 8, 5, 2;

%e 7, 15, 15, 7, 2;

%e 11, 30, 35, 24, 9, 2;

%e 18, 56, 80, 66, 35, 11, 2;

%e 29, 104, 171, 170, 110, 48, 13, 2;

%Y Cf. A000032, A099920 ; A007395, A005408, A005563.

%K nonn,tabl

%O 0,1

%A _Philippe Deléham_, Nov 07 2006

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Last modified September 18 23:03 EDT 2024. Contains 376002 sequences. (Running on oeis4.)