# A generating function approach to the automated evaluation of sums of exponentiated multiples of generalized Catalan number linear combinations.

Journal article

Larcombe, Peter J. and O'Neill, Sam T. 2018. A generating function approach to the automated evaluation of sums of exponentiated multiples of generalized Catalan number linear combinations.

*Fibonacci Quarterly.*Authors | Larcombe, Peter J. and O'Neill, Sam T. |
---|---|

Abstract | Based on a previous technique deployed in some speciﬁc low order cases, we develop an automated computational procedure to evaluate instances within a class of inﬁnite series comprising exponentiated multiples of generalized linear combinations of Catalan numbers. The methodology is explained, and new results given. |

Keywords | Catalan number series evaluations |

Year | 2018 |

Journal | Fibonacci Quarterly |

Publisher | The Fibonacci Association |

ISSN | 0015-0517 |

Web address (URL) | http://hdl.handle.net/10545/623252 |

http://creativecommons.org/licenses/by/4.0/ | |

hdl:10545/623252 | |

Publication dates | May 2018 |

Publication process dates | |

Deposited | 03 Jan 2019, 10:26 |

Contributors | University of Derby |

File | File Access Level Open |

File | File Access Level Open |

File | File Access Level Open |

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https://repository.derby.ac.uk/item/92wwy/a-generating-function-approach-to-the-automated-evaluation-of-sums-of-exponentiated-multiples-of-generalized-catalan-number-linear-combinations

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