Luca's numbers....

Just like Fibonacci numbers , there are Lucas\color{#3D99F6}{Luca's} numbers... They are defined by following recurrence relation. L0=2L_0=2 L1=1L_1 =1 and\text{and} Ln=Ln1+Ln2L_n = L_{n-1} + L_{n-2}

Find the value of n=010Ln\displaystyle \sum_{n=0} ^{10} L_n

Note :- I read about Luca's numbers at this problem in the tag recurrence relations, and i think the same thing as why the maker had chosen L10L_{10} as asked answer, the same is why I also have chosen it to be sum till 10. After you get the answer, you'll come to know it, the answer number looks very good.\color{#D61F06}{\text{the answer number looks very good.}}

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