Volume no :4, Issue no: 1, September (2010)

Journal of Algebra, Number Theory: Advances and Applications

INFINITELY MANY IDENTITIES FOR JACOBSTHAL-LUCAS NUMBERS

Author's: Helmut Prodinger
Pages: [49] - [55]
Received Date: September 28, 2010
Submitted by:

Abstract

Sums over products of Jacobsthal-Lucas numbers boil down to summing the finite geometric series. Since the answer can be written again in terms of Jacobsthal-Lucas numbers, we can generate (almost) automatically as many theorems as we please.

Keywords

Jacobsthal-Lucas numbers, automatic generation, generating function, partial fraction decomposition, Pell numbers, Pell-Lucas numbers.