Links Between Sums Over Paths in Bernoulli's Triangles and the Fibonacci Numbers
Denis Neiter and Amsha Proag
École Polytechnique
Route de Saclay
91128 Palaiseau
France
Abstract:
We investigate paths in Bernoulli's triangles, and derive several relations linking the partial sums of binomial coefficients to the Fibonacci numbers.
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(Concerned with sequences
A000045
A000930
A003269
A003520
A005251
A005314
A008949
A027934
A099568
A138653
A193605.)
Received June 10 2016; revised version received September 23 2016;
October 5 2016.
Published in Journal of Integer Sequences, October 10 2016.
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