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Functional consequences of somatic polyploidy in development.
DevelopmentDarmasaputra GS +2 more
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On The Padovan p-Numbers [PDF]
Hacettepe Journal of Mathematics and Statistics, 2017 In this paper, we define the Padovan p-numbers and then we obtain their miscellaneous properties such as the generating matrix, the Binet formula, the generating function, the exponential representation, the combinatorial representations, the sums and permanental representation. Also, we study the Padovan p-numbers modulo m.
DEVECİ, Ömür, KARADUMAN, Erdal
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On Concatenations of Two Padovan and Perrin Numbers
Bulletin of the Iranian Mathematical Society, 2023Let \( (P_k)_{k\ge 0} \) and \( (R_k)_{k\ge 0} \) be the sequences of Padovan and Perrin numbers defined by the respective linear recurrence relations: \( P_0=0 \), \( P_1=P_2=1 \); \( P_k=P_{k-2}+P_{k-3} \) and \( R_0=3 \), \( R_1=0 \), \( R_2=2 \); \( R_k=R_{k-2}+R_{k-3} \), for \( k\ge 3 \).
Fatih Erduvan
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Hessenberg matrices and Padovan numbers [PDF]
AIP Conference Proceedings, 2017 In this paper, we study the Padovan numbers and obtain some relationships between this sequence and permanent and determinant of a type of Hessenberg matrices.
Yasar, Meral, Meral Yaşar
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On the Cube Polynomials of Padovan and Lucas–Padovan Cubes [PDF]
Symmetry, 2023 The hypercube is one of the best models for the network topology of a distributed system. Recently, Padovan cubes and Lucas–Padovan cubes have been introduced as new interconnection topologies.
Gwangyeon Lee, Jinsoo Kim
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Combinatorial Identities for the Padovan Numbers [PDF]
The Fibonacci Quarterly, 2019 We interpret the Padovan numbers combinatorially by having them count the number of tilings of an n-strip using dominoes and triominoes. Using this interpretation, we develop a collection of identities satisfied by the sequence of Padovan ...
Tedford, Steven J.
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Multiplicative Dependent Pairs in the Sequence of Padovan Numbers
Mathematica Slovaca, 2023ABSTRACT The Padovan sequence {Pn } n≥0 is a ternary recurrent sequence defined recursively by the relation Pn = P n–2 + P n–3 with initials P 0 = P 1 = P
Behera, Mitashree, Ray, Prasanta Kumar
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Fibonacci numbers as sums of two Padovan numbers
Afrika Matematika, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ana Cecilia García Lomelí +2 more
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On b-concatenations of Padovan and Perrin numbers
Boletín de la Sociedad Matemática MexicanazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kouèssi Norbert Adédji +2 more
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