Journal of Integer Sequences, Vol. 19 (2016), Article 16.5.4

Some Congruences for Central Binomial Sums Involving Fibonacci and Lucas Numbers


Roberto Tauraso
Dipartimento di Matematica
Università di Roma "Tor Vergata"
00133 Rome
Italy

Abstract:

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.

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(Concerned with sequences A000045 A000984 A001008 A014445 A014448.)

Received April 14 2016; revised version received May 10 2016. Published in Journal of Integer Sequences, June 2 2016.

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