On binomial sums for the general second order linear recurrence.
Kiliç, Emrah, Tan, Elif (2010)
Integers
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Displaying similar documents to “Partitioning the positive integers with higher order recurrences.”
On binomial sums for the general second order linear recurrence.
Generalization of an identity involving the generalized Fibonacci numbers and its applications.
Mohammad Farrokhi, D.G. (2009)
Integers
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Interspersions and fractal sequences associated with fractions .
Kimberling, Clark (2007)
Journal of Integer Sequences [electronic only]
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A WZ proof of a “curious” identity.
Ekhad, Shalosh B., Mohammed, Mohamud (2003)
Integers
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A common generating function for Catalan numbers and other integer sequences.
Cossali, G.E. (2003)
Journal of Integer Sequences [electronic only]
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Falling factorials, generating functions, and conjoint ranking tables.
Osgood, Brad, Wu, William (2009)
Journal of Integer Sequences [electronic only]
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Generalizing the combinatorics of binomial coefficients via -nomials.
Loehr, Nicholas A., Savage, Carla D. (2010)
Integers
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A formula for the generating functions of powers of Horadam's sequence with two additional parameters.
Kılıç, Emrah, Ulutaş, Yücel Türker, Ömür, Neşe (2011)
Journal of Integer Sequences [electronic only]
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On determining paint by numbers puzzles with nonunique solutions.
Mullen, Ryan (2009)
Journal of Integer Sequences [electronic only]
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On terms of linear recurrence sequences with only one distinct block of digits
Diego Marques, Alain Togbé (2011)
Colloquium Mathematicae
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In 2000, Florian Luca proved that F₁₀ = 55 and L₅ = 11 are the largest numbers with only one distinct digit in the Fibonacci and Lucas sequences, respectively. In this paper, we find terms of a linear recurrence sequence with only one block of digits in its expansion in base g ≥ 2. As an application, we generalize Luca's result by finding the Fibonacci and Lucas numbers with only one distinct block of digits of length up to 10 in its decimal expansion.
Floor and roof function analogs of the Bell numbers.
Gould, H.W., Quaintance, Jocelyn (2007)
Integers
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A generalization of the Cassini formula
Alexey Stakhov (2012)
Visual Mathematics
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In praise of an elementary identity of Euler.
Bhatnagar, Gaurav (2011)
The Electronic Journal of Combinatorics [electronic only]
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