Geodesic
Links between sums over paths in Bernoulli's triangles and the Fibonacci numbers
Journal of integer sequences, Tome 19 (2016) no. 8
We investigate paths in Bernoulli's triangles, and derive several relations linking the partial sums of binomial coefficients to the Fibonacci numbers.
Classification : 11B39, 05A19
Keywords: Fibonacci number, binomial coefficient, Pascal's triangle, Bernoulli's triangle 
@article{JIS_2016__19_8_a1,
     author = {Neiter,  Denis and Proag,  Amsha},
     title = {Links between sums over paths in {Bernoulli's} triangles and the {Fibonacci} numbers},
     journal = {Journal of integer sequences},
     year = {2016},
     volume = {19},
     number = {8},
     zbl = {1383.11018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a1/}
}
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Neiter,  Denis; Proag,  Amsha. Links between sums over paths in Bernoulli's triangles and the Fibonacci numbers. Journal of integer sequences, Tome 19 (2016) no. 8. http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a1/