Revolutionizing Mathematical Thinking

Riitesh Series Published in UGC-Approved ShodhKosh Journal

Dr. P. R. Sinha

Dr. Riitesh Sinha’s Mathematical Discovery Gains National Recognition

In a landmark achievement for Indian mathematical innovation, Dr. Riitesh Sinha’s original research on the Riitesh Series has been published in the prestigious UGC-approved ShodhKosh: Journal of Visual and Performing Arts. This ground-breaking paper introduces a novel number sequence — the Riitesh Series — which merges patterns of recursive mathematics with positional logic, offering a fresh perspective on natural growth, progression, and numerical philosophy.

The Riitesh Series is defined by the formula:
R(n) = R(n−1) + R(n−2) + ⌊n/3⌋,
starting from 0 and 1. The sequence exhibits a unique hybrid of Fibonacci-like recurrence with an additional integer quotient term based on the position. This subtle addition dramatically changes the sequence’s properties, allowing it to model patterns not captured by classical sequences.

The paper not only defines and illustrates the series but also evaluates its behavior through Golden Ratio approximation, graphical representation, and comparative growth analysis. Intriguingly, the sequence shows signs of converging toward a modified Fibonacci-Golden Mean pattern — a discovery that may have implications in both theoretical mathematics and nature-inspired computational models.

Dr. Sinha’s research has already sparked interest among educators, mathematicians, and cognitive science researchers, owing to its potential application in learning theory, pattern recognition, and creative cognitive development.

This is not the first time Dr. Sinha has made headlines. Known for his pioneering work on Riitesh Mudraa — a therapeutic hand gesture technique for individuals with Cerebral Palsy — he continues to break barriers, this time by contributing an indigenous mathematical concept with global relevance.

The publication of this paper in ShodhKosh marks a proud moment for Indian academia, especially as it reflects the rise of neurodiverse thinkers making meaningful contributions to mainstream knowledge systems.

Quick Facts:

• Title of Paper: Validation of the Riitesh Series Using the Golden Ratio
• Published in: ShodhKosh: Journal of Visual and Performing Arts (UGC Approved)
• Author: Dr. Riitesh Sinha, Karnal, Haryana
• Key Focus: New numerical sequence, mathematical validation, golden ratio application
• Future Scope: Use in computational models, cognitive research, alternative pedago