Titlebook: Applications of Fibonacci Numbers; Volume 6 Proceedings Gerald E. Bergum,Andreas N. Philippou,Alwyn F. Hor Conference proceedings 1996 Kluw

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Tiling with Cuisenaire Rods, All rods have square cross-section 1 cm. by 1 cm. and integer lengths from 1 cm. to 10 cm. The rods are white (1 cm.), red (2 cm.), green (3 cm.), purple (4 cm.), yellow (5 cm.), dark green (6 cm.), black (7 cm.), brown (8 cm.), blue (9 cm.), and orange (10 cm.).

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Some Remarks on the Distribution of Second Order Recurrences and a Related Group Structure,arliest results, due to Kuipers and Shiue [5], established that the Fibonacci numbers are uniformly distributed mod p (u.d. mod p) if and only if p = 5. They conjectured that the Fibonacci numbers were u.d. mod for each h ⪰ 1. Niederreiter established the conjecture in [9]. Kuipers and Shiue went on

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Matrices, Recurrent Sequences and Arithmetic,on recurrent sequences to commutative rings with identity, often giving proofs essentially different to the ones previously given. In paragraph 2, is also proved a theorem which tells us, in a precise manner, how an impulse response sequence determines all the others having the same characteristic p

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Interesting Arrays Associated with Fibonacci Sequences,different integers in the set when increased by some fixed integer n is a perfect square. Several of these articles have even examined the possibility of finding a set of four or more positive rational numbers with the same property.

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