Description Usage Arguments Note Author(s) Examples

Generating function for a chess knight on an infinite $d$-dimensional chessboard

1 |

`d` |
Dimension of the board |

`can_stay_still` |
Boolean, with default |

The function is a slight modification of `spray::knight()`

.

Robin K. S. Hankin

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | ```
knight(2) # regular chess knight on a regular chess board
knight(2,TRUE) # regular chess knight that can stay still
# Q: how many ways are there for a 4D knight to return to its starting
# square after four moves?
# A:
constant(knight(4)^4)
# Q ...and how many ways in four moves or fewer?
# A1:
constant(knight(4,TRUE)^4)
# A2:
constant((1+knight(4))^4)
``` |

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