A generalization of the Binomial Coefficient whose Notation was suggested by Knuth,

(1) |

(2) | |||

(3) |

where

(4) |

The Roman coefficients also satisfy properties like those of the Binomial Coefficient,

(5) |

(6) |

(7) |

(8) |

**References**

Roman, S. ``The Logarithmic Binomial Formula.'' *Amer. Math. Monthly* **99**, 641-648, 1992.

© 1996-9

1999-05-25