The generating function of a family of the sequences in terms of the continuant (Q628891)
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scientific article; zbMATH DE number 5862478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generating function of a family of the sequences in terms of the continuant |
scientific article; zbMATH DE number 5862478 |
Statements
The generating function of a family of the sequences in terms of the continuant (English)
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8 March 2011
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Let \(a_0,a_1,\dots,a_{r-1}\) be positive integers, and define the sequence \({q_m}\) by \[ q_0=1,\;q_1=1,\;q_m=a_tq_{m-1}+q_{m-2},\;m\geq 2,\;t\equiv m\pmod r. \] The author determines the generating function \(F(x)=\sum_{m=0}^\infty q_mx^m\).
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recurrent sequence
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generating function
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