On a multisection style binomial summation identity for Fibonacci numbers

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On a Multisection Style Binomial Summation Identity for Fibonacci Numbers

A lattice path enumeration approach is exploited in order to derive a binomial summation formula for the number of paths in the lattice (0, 1, . . . , d) with start 0 and n steps. This approach reveals multisection style binomial summation identitities and, particularly, a novel relationship between Fibonacci numbers and the Pascal triangle. Mathematics Subject Classification: 05A10, 11B39

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ژورنال

عنوان ژورنال: International Journal of Contemporary Mathematical Sciences

سال: 2014

ISSN: 1314-7544

DOI: 10.12988/ijcms.2014.417