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A079735 Number of positions that are exactly n moves from the starting position in the Hockey Puck puzzle. 4
1, 3, 6, 12, 23, 44, 80, 142, 247, 411, 662, 1019, 1481, 2059, 2745, 3465, 4126, 4633, 4913, 4777, 4163, 3079, 1612, 488, 94, 25, 6, 3, 1 (list; graph; refs; listen; history; text; internal format)
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 8! = 40320. Here we only use moves of types a-c.

LINKS

Table of n, a(n) for n=0..28.

Jaap Scherphuis, Puzzle Pages

CROSSREFS

Cf. A079736-A079738.

Sequence in context: A055244 A089068 A018180 * A050243 A285262 A024505

Adjacent sequences:  A079732 A079733 A079734 * A079736 A079737 A079738

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Feb 20 2003

STATUS

approved

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Last modified August 20 11:43 EDT 2017. Contains 290835 sequences.