Row-sum of a class of M-bonomial coefficients

Abstract

Formulae for row-sum of M-bonomial coefficients where G is an mth g-gonal number is developed from a study of the ratio between consecutive terms of the sequence of row-sum. The result generalizes the formula for row-sum of binomial coefficients: .

Keywords:

• binomial coefficients
• Fibonomial coefficients
• M-bonacci sequence
• M-bonomial coefficients
• mth g-gonal number

Acknowledgements

I would like to thank Dr Math at http://mathforum.org/dr.math/ for helpful comments.