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A class of numbers associated with the Lucas numbers

✍ Scribed by R.K. Raina; H.M. Srivastava

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
501 KB
Volume
25
Category
Article
ISSN
0895-7177

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✦ Synopsis

The main object of this paper is to present a systematic investigation of a new class of numbers associated with the familiar Lucas numbers. The various results obtained here for this class of numbers include explicit hypergeometric representations, generating functions, recurrence relations, and summation formulas.

πŸ“œ SIMILAR VOLUMES

Trees Associated with the Motzkin Number
Trees Associated with the Motzkin Numbers
✍ Alexander Kuznetsov; Igor Pak; Alexander Postnikov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 179 KB

We consider plane rooted trees on n+1 vertices without branching points on odd levels. The number of such trees in equal to the Motzkin number M n . We give a bijective proof of this statement.