The MokraBela Triangle T(n,k) and its Column Sum Sequence a(k) = (2k-1)(3k-1)(k+1)

Ahmed Mokrane

doi:10.5281/zenodo.18987195

March 8, 2026Open Access

The MokraBela Triangle T(n,k) and its Column Sum Sequence a(k) = (2k-1)(3k-1)(k+1)

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Key Points

To formally define the MokraBela Triangle T(n,k) and derive its column sum sequence a(k).
Defined the MokraBela Triangle T(n,k) mathematically.
Derived the column sum sequence a(k) and presented its closed-form polynomial.
Conducted numerical verification for the derived formulas.
Performed structural analysis of the triangular array.
Derived closed-form for a(k) as 6k³ + k² - 4k + 1.
Validated the column sum sequence through numerical verification.
Provided insights into the structure of the triangular array.

Implication

Formal definition of MokraBela Triangle highlights its column sum sequence, indicating mathematical properties and applications.

Abstract

This document provides a formal definition and mathematical characterization of the MokraBela Triangle, denoted as T(n,k). It derives the associated column sum sequence a(k) and provides its closed-form polynomial representation: a(k) = 6k³ + k² - 4k + 1. The work includes numerical verification and structural analysis of the triangular array

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Cite This Study

Ahmed Mokrane (2026) studied this question.

synapsesocial.com/papers/69b4fc0eb39f7826a300c9b2 https://doi.org/10.5281/zenodo.18987195

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The MokraBela Triangle T(n,k) and its Column Sum Sequence a(k) = (2k-1)(3k-1)(k+1)

Key Points

Implication

Abstract

Discussion

Cite This Study

The MokraBela Triangle T(n,k) and its Column Sum Sequence a(k) = (2k-1)(3k-1)(k+1)

Key Points

Implication

Abstract

Discussion

Cite This Study

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