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Some finite sums involving generalized Fibonacci and Lucas numbers - MaRDI portal

Some finite sums involving generalized Fibonacci and Lucas numbers (Q764538)

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scientific article; zbMATH DE number 6014498
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Some finite sums involving generalized Fibonacci and Lucas numbers
scientific article; zbMATH DE number 6014498

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    Some finite sums involving generalized Fibonacci and Lucas numbers (English)
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    13 March 2012
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    Summary: By considering Melham's sums \textit{R. S. Melham} [Fibonacci Q. 42, No. 1, 47--54 (2004; Zbl 1060.11008)], we compute various more general nonalternating sums, alternating sums, and sums that alternate according to \((-1)^{\begin{pmatrix} n+1\\2 \end{pmatrix}}\) involving the generalized Fibonacci and Lucas numbers.
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