login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A089484 Number of configurations of the sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. 11
1, 2, 4, 10, 24, 54, 107, 212, 446, 946, 1948, 3938, 7808, 15544, 30821, 60842, 119000, 231844, 447342, 859744, 1637383, 3098270, 5802411, 10783780, 19826318, 36142146, 65135623, 116238056, 204900019, 357071928, 613926161, 1042022040 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The last sequence term is a(80). The total number of possible configurations of an m*m sliding block puzzle is (m*m)!/2=A088020(4)/2, therefore Sum_i (i=0..80) a(i)=16!/2=10461394944000.

REFERENCES

See A087725.

LINKS

Herman Jamke, Table of n, a(n) for n = 0..80 (complete sequence)

Herbert Kociemba, 15-Puzzle Optimal Solver

R. E. Korf and P. Schultze, Large-Scale Parallel Breadth-First Search

Hugo Pfoertner, Configuration counts for n*n sliding block puzzles.

CROSSREFS

Cf. A087725, A089473, A090031, A090032, A090164, A090165, A088020.

Sequence in context: A094837 A136427 A018114 * A132732 A275447 A095214

Adjacent sequences:  A089481 A089482 A089483 * A089485 A089486 A089487

KEYWORD

fini,full,nonn

AUTHOR

Hugo Pfoertner, Nov 25 2003

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Oct 19 2006

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 05:11 EST 2019. Contains 329839 sequences. (Running on oeis4.)