论文标题
全历史Horadam序列的身份
Identities for full-history Horadam sequences
论文作者
论文摘要
我们证明了由具有（非负）恒定系数的全历史线性均匀复发定义的一类序列的主体身份。该身份以组合方式得出，因此为许多已知和新身份提供了合并的证明。特别是，我们证明了Pell，Jacobsthal和M-Nacci数字的几个有趣的身份。
We prove a master identity for a class of sequences defined by full-history linear homogeneous recurrences with (non-negative) constant coefficients. The identity is derived in a combinatorial way, providing thus combinatorial proofs for many known and new identities obtained as its corollaries. In particular, we prove several interesting identities for the Pell, the Jacobsthal, and the m-nacci numbers.
