A079738 Number of positions that are exactly n moves from the starting position in the Hockey Puck puzzle.

1, 6, 30, 147, 708, 3408, 16177, 75384, 334836, 1400827, 5019071, 12427541, 14323585, 6051014, 263992, 73

Offset

0,2

Comments

This is the number of positions that can be reached in n moves from the start, but which cannot be reached in fewer than n moves.

A puzzle in the Rubik cube family. The total number of distinct positions is 10! = 3628800. Here we use moves of all types a-f.

Links

Table of n, a(n) for n=0..15.

Jaap Scherphuis, Puzzle Pages

Crossrefs

Cf. A079735-A079737.

Sequence in context: A364460 A006320 A319377 * A127741 A073965 A214940

Adjacent sequences: A079735 A079736 A079737 * A079739 A079740 A079741

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Feb 20 2003

Status

approved