On congruences related to central binomial coefficients, harmonic and Lucas numbers

In this paper, using some combinatorial identities, we present new congruences involving central binomial coefficients and harmonic, Catalan, and Fibonacci numbers. For example, for an odd prime p, we have (p-1)/2 Sigma k=1 (2k/k) Hk-1 equivalent to 2(p)/p (2F(p+1) - 5((p-1)/2) - 1) (mod p), (p-1)/2 Sigma k=0 HkCk/(-4)(k) equivalent to 2Q(p)+1/p - 2(P+1)/p (1+2((p+1/2)) (mod p), and for (5/p) = 1, (p-1)/2 Sigma k=1 (2k/k) Hk-1Fk/(-4)(k) equivalent to 1/p (F2p+1 - Fp+2) - 2(p)/pF(p-1) (mod p), where {F-n} is the Fibonacci sequence and {Qn} is the Pell-Lucas sequence.