On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression
We investigate formulas for closely related series of the forms: ∑∞𝑛=01/(𝑈𝑎𝑛+𝑏+𝑐), ∑∞𝑛=0(−1)𝑛𝑈𝑎𝑛+𝑏/(𝑈𝑎𝑛+𝑏+𝑐)2, ∑∞𝑛=0𝑈2(𝑎𝑛+𝑏)/(𝑈2𝑎𝑛+𝑏+𝑐)2 for certain values of 𝑎, 𝑏, and 𝑐.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/684280 |
| Summary: | We investigate formulas for closely related series of the forms: ∑∞𝑛=01/(𝑈𝑎𝑛+𝑏+𝑐),
∑∞𝑛=0(−1)𝑛𝑈𝑎𝑛+𝑏/(𝑈𝑎𝑛+𝑏+𝑐)2,
∑∞𝑛=0𝑈2(𝑎𝑛+𝑏)/(𝑈2𝑎𝑛+𝑏+𝑐)2 for certain values of 𝑎, 𝑏, and 𝑐. |
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| ISSN: | 1026-0226 1607-887X |