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  • 标题:On the Smarandache-Pascal derived sequences of generalized Tribonacci numbers
  • 本地全文:下载
  • 作者:Zhengang Wu ; Jianghua Li ; Han Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:284
  • DOI:10.1186/1687-1847-2013-284
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:For any sequence recurrence formula, the Smarandache-Pascal derived sequence { T n } of { b n } is defined by T n + 1 = ∑ k = 0 n ( n k ) ⋅ b k + 1 for all n ≥ 2 , where ( n k ) = n ! k ! ( n − k ) ! denotes the combination number. The recurrence formula of { T n } is obtained by the properties of the third-order linear recurrence sequence.
  • 关键词:Smarandache-Pascal derived sequence ; Tribonacci numbers ; combination number ; elementary method
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