Results 61 to 70 of about 8,614,926 (216)
Perfect numbers and Fibonacci primes (I) [PDF]
International Journal of Number Theory, 2014 In this paper, we introduce the concept of F-perfect number, which is a positive integer n such that ∑d|n,d<n d2 = 3n. We prove that all the F-perfect numbers are of the form n = F2k-1 F2k+1, where both F2k-1 and F2k+1 are Fibonacci primes. Moreover, we obtain other interesting results and raise a new conjecture on perfect numbers.
Tianxin Cai, Liuquan Wang, Yong Zhang
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Advanced Science, Volume 13, Issue 44, 7 August 2026.ABSTRACT Large‐ion (K, Na) battery systems mitigate uneven global lithium distribution, while their ability to attain recharge time shorter than refueling would remove the final barrier for secondary batteries to replace petroleum vehicles. However, their large‐ion chemistry makes ultra‐fast charging an even significant challenge.
Shukai Ding +12 more
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Discrete Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences
Mathematische Nachrichten, Volume 299, Issue 8, Page 2087-2102, August 2026.ABSTRACT In this paper, a novel matrix‐based encryption approach based on the Affine Hill cipher is presented. The key matrix is constructed using the Narayana integer sequence, and the Frobenius norm of the key matrix is used as a scaling factor in the key construction.
Melih Göcen +1 more
wiley +1 more source
The Number of Spanning Trees in Generalized Complete Multipartite Graphs of Fan-Type [PDF]
, 2011 Approaching topics such as connected simple graph, k-partite graph, complete graph, tree, Smarandache (E1,E2)-number of ...
Junliang Cai +3 more
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Generalized Natural Density DF(Fk) of Fibonacci Word
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiThis paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, k-Fibonacci words, and their combinatorial properties.
Abdullah, D., Hamoud, J.
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Complete k-ary trees and generalized meta-Fibonacci sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We show that a family of generalized meta-Fibonacci sequences arise when counting the number of leaves at the largest level in certain infinite sequences of k-ary trees and restricted compositions of an integer.
Chris Deugau, Frank Ruskey
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Journal of Geophysical Research: Space Physics, Volume 131, Issue 8, August 2026.Abstract Accurate determination of the wave propagation direction is essential for understanding wave–particle interactions in space plasmas as well as the source and propagation characteristics of waves. Traditional wave normal angle (WNA) analysis methods rely on the plane‐wave assumption and cannot describe realistic wave fields with a distribution ...
Ning Kang +5 more
wiley +1 more source
Gap terminology and related combinatorial properties for AVL trees and Fibonacci-isomorphic trees
AKCE International Journal of Graphs and Combinatorics, 2018 We introduce gaps that are edges or external pointers in AVL trees such that the height difference between the subtrees rooted at their two endpoints is equal to 2.
Mahdi Amani
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Annals of the New York Academy of Sciences, Volume 1562, Issue 1, August 2026.Harmony and rhythm perception are often studied separately, yet both reveal a shared sensitivity to low‐order integer ratios. In harmony, intervals like the octave (2:1) and fifth (3:2) predict consonance and ease of encoding. In rhythm, patterns with simple ratios (e.g., 2:1, 3:2) are easier to perceive, reproduce, and remember.
Nicola Di Stefano +2 more
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