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A151944 Square array read by antidiagonals: T(m,n) = maximal number of moves required for the m X n generalization of the sliding block 15-puzzle (or fifteen-puzzle). 1
0, 1, 1, 2, 6, 2, 3, 21, 21, 3, 4, 36, 31, 36, 4, 5, 55, 53, 53, 55, 5, 6, 80, 84, 80, 84, 80, 6, 7, 108 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

See A087725 for more about this problem and its history.

REFERENCES

Richard Korf, Linear-time Disk-Based Implicit Graph Search, Journal of the ACM 55 (2008), No. 6

LINKS

Table of n, a(n) for n=1..30.

Anton Kulchitsky, Comments on the Fifteen Puzzle

EXAMPLE

Array begins:

.n\m...1...2...3...4...5...6...7...8...9

.----------------------------------------

.1.|...0...1...2...3...4...5...6...7...8

.2.|...1...6..21..36..55..80.108.140

.3.|...2..21..31..53..84

.4.|...3..36..53..80

.5.|...4..55..84

.6.|...5..80

.7.|...6.108

.8.|...7.140

.9.|...8

CROSSREFS

Main diagonal: A087725. Row 2: A151943.

Sequence in context: A110218 A057892 A115009 * A073094 A194953 A057606

Adjacent sequences:  A151941 A151942 A151943 * A151945 A151946 A151947

KEYWORD

nonn,tabl,more

AUTHOR

Anton Kulchitsky (kulchits(AT)arsc.edu), Aug 14 2009, Aug 16 2009

EXTENSIONS

Extensions from Korf's 2008 publication, with corrections, Tomas Rokicki, Aug 17 2011.

STATUS

approved

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Last modified December 22 14:10 EST 2014. Contains 252364 sequences.