Geodesic
Links between sums over paths in Bernoulli's triangles and the Fibonacci numbers
Journal of integer sequences, Tome 19 (2016) no. 8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
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     volume = {19},
     number = {8},
     year = {2016},
     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/