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15.270  Articles
1 of 1.527 pages  |  10  records  |  more records»
The purpose of this study was to explore the method for designing the toilet siphon pipe shape to improve flushing performance. The Fibonacci sequence and the Lucas sequence were used to design the structural parameters of the siphon pipe. The flushing pr... see more

Let (s2(n))8n=0(s_2(n))_{n=0}^\infty denote Stern's diatomic sequence. For n=2n\geq 2, we may view s2(n)s_2(n) as the number of partitions of n-1n-1 into powers of 22 with each part occurring at most twice. More generally, for integers b,n=2b,n\geq 2, let... see more

Barisan Fibonacci dan Lucas telah digeneralisasi dalam banyak cara, beberapa dengan mempertahankan kondisi awal, dan lainnya dengan mempertahankan relasi rekurensi. Makalah ini menyajikan sebuah generalisasi baru barisan Fibonacci-Lucas yang didefinisikan... see more

We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli numbers and polynomials. The derivations of our results are based on functional equations for the respective generating functions, which in our case are combinations of... see more

The essential idea in this paper it to generalize and synthesize some of the pioneering ideas of Bernstein, Lucas and Horadam on generalizations of basic and primordial Fibonacci numbers and their arbitrary order generalizations and their relation to gene... see more

An increase in the number of plants infected with Maize rough dwarf disease (MRDD) has been reported recently in Spain. The disease was presumed to be caused by Maize rough dwarf virus (MRDV), but there was no conclusive evidence for this assumption. Two ... see more

Recently Witula and Slota give decompositions of the Cauchy andFerrers-Jackson polynomials [Cauchy, Ferrers-Jackson and Chebyshevpolynomials and identities for the powers of elements of some conjugaterecurrence sequences, Central Europan J. Math., 2006]. ... see more

1 of 1.527 pages  |  10  records  |  more records»