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A090034 Number of configurations of the 3 X 2 variant of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. +0
7
1, 2, 3, 5, 6, 7, 10, 12, 12, 16, 23, 25, 28, 39, 44, 40, 29, 21, 18, 12, 6, 1 (list; graph; listen)
OFFSET

0,2

COMMENT

Data from Karlemo and Ostergard. See corresponding link in A087725.

REFERENCES

See A087725.

LINKS

Hugo Pfoertner, Solutions of small n*2 sliding block puzzles.

Takaken, n-Puzzle Page.

Takaken, No. 32 (5 puzzles).

EXAMPLE

Starting with

123

45-

the most distant configuration corresponding to a(21)=1 is

45-

123 (i.e. it takes longest just to swap the two rows).

PROGRAM

See link in A089473.

CROSSREFS

Cf. A087725, A089473, A090033, A090035, A090036, A090163, A090167.

Adjacent sequences: A090031 A090032 A090033 this_sequence A090035 A090036 A090037

Sequence in context: A102830 A031989 A023746 this_sequence A037016 A101323 A030051

KEYWORD

fini,full,nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Nov 23 2003

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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