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Periodic Patterns and Block Structures in Squared Pell Sequence Modulo 10e

Year: 2025

Type: article

Abstract: In this paper, we investigate the periodic properties of the squared Pell sequence {}, which is defined by the recurrence relation for all ; with , where denotes th Pell number. For any modulus , we introduce a novel concept of ‘blocks’ within this sequence by examining the distribution of residues over a single period of the squared Pell sequence. Our results reveal that the length of any given period of the squared Pell sequence comprises either 1 or 2 blocks.

Source: International journal of research and scientific innovation

DOI: 10.51244/ijrsi.2025.120500113

Authors: Rima Patel, Devbhadra Shah

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4411258559

FWCI:

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Related to: 10