A Figurate Number built up of the nexus of cells less than steps away from a given cell. In -D, the
th nexus number is given by

where is a Binomial Coefficient. The first few -dimensional nexus numbers are given in the table below.

name | ||

0 | 1 | unit |

1 | Odd Number | |

2 | Hex Number | |

3 | Rhombic Dodecahedral Number |

**References**

Conway, J. H. and Guy, R. K. *The Book of Numbers.* New York: Springer-Verlag, pp. 53-54, 1996.

© 1996-9

1999-05-25