Some congruences for central binomial sums involving Fibonacci and Lucas numbers
Journal of integer sequences, Tome 19 (2016) no. 5
We present several polynomial congruences about sums with central binomial coefficients and harmonic numbers. In the final section we collect some new congruences involving Fibonacci and Lucas numbers.
Classification :
11A07, 05A10
Keywords: congruences, central binomial coefficient, harmonic number, Fibonacci number, Lucas number
Keywords: congruences, central binomial coefficient, harmonic number, Fibonacci number, Lucas number
@article{JIS_2016__19_5_a4,
author = {Tauraso, Roberto},
title = {Some congruences for central binomial sums involving {Fibonacci} and {Lucas} numbers},
journal = {Journal of integer sequences},
year = {2016},
volume = {19},
number = {5},
zbl = {1417.11002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_5_a4/}
}
Tauraso, Roberto. Some congruences for central binomial sums involving Fibonacci and Lucas numbers. Journal of integer sequences, Tome 19 (2016) no. 5. http://geodesic.mathdoc.fr/item/JIS_2016__19_5_a4/