# Certain classes of finite sums that involve generalized Fibonacci and Lucas numbers

@inproceedings{Melham2004CertainCO, title={Certain classes of finite sums that involve generalized Fibonacci and Lucas numbers}, author={R. S. Melham}, year={2004} }

was the inspiration for [2], in which analogous sums involving cubes of Fibonacci numbers were developed. In turn, [2] was the motivation for [5], [6], and [7]. In the present paper, where we restrict ourselves to summands that consist of products of at most two terms (as in (1.1)), our motivation has again been to find sums where the right side has a pleasing form. We have found it profitable to consider non-alternating sums, alternating sums, and sums that

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## FORMULAS FOR LINEAR SUMS THAT INVOLVE GENERALIZED FIBONACCI AND LUCAS NUMBERS

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CITES BACKGROUND & METHODS

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## Formulas for quadratic sums that involve generalized Fibonacci and Lucas numbers

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CITES BACKGROUND

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## Generalized Fibonacci and Lucas sums from residue classes of the number 3

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CITES BACKGROUND

## Sums of Powers of Fibonacci and Lucas Polynomials in terms of Fibopolynomials

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CITES BACKGROUND

## SUMS OF THE EVEN INTEGRAL POWERS OF THE COSECANT AND SECANT

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CITES BACKGROUND & METHODS

#### References

##### Publications referenced by this paper.

SHOWING 1-8 OF 8 REFERENCES

## Notes on Sums of Products of Generalized Fibonacci Numbers.

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HIGHLY INFLUENTIAL

## Alternating Sums of Fourth Powers of Fibonacci and Lucas Numbers.

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## Sums of certain products of Fibonacci and Lucas numbers

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## Summation of Second-Order Recurrence Terms and Their Squares.

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## Sums and Products for Recurring Sequences.

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