SOME NEW IDENTITIES CONCERNING GENERALIZED FIBONACCI AND LUCAS NUMBERS

作者：Siar Zafer^*; Keskin Refik

来源：Hacettepe Journal of Mathematics and Statistics, 2013, 42(3): 211-222.

• Generalized Fibonacci numbers
• Generalized Lucas numbers

In this paper we obtain some identities containing generalized Fibonacci and Lucas numbers. Some of them are new and some are well known. By using some of these identities we give some congruences concerning generalized Fibonacci and Lucas numbers such as
V2mn+r equivalent to (-(-t)(m))(n) V-r (mod V-m),
U2mn+r equivalent to (-(-t)(m))(n) U-r (mod V-m),
and
V2mn+r equivalent to (-t)V-mn(r) (mod U-m),U-
U2mn+r equivalent to (-t)(mn) U-r (mod U-m).

• 出版日期2013-6