A195667 Length of the longest Sokoban game with n spaces.

1, 2, 3, 5, 9, 14, 17, 22, 27, 35, 40, 48, 59, 77, 88, 108, 124, 146

Offset

3,2

Comments

This sequence grows exponentially, and the base is known to be somewhere between phi and 2. - Zachary DeStefano, Jun 05 2021

Links

Table of n, a(n) for n=3..20.

Zachary DeStefano and qqwref, Sokoban Max Moves Archive

Erich Friedman, Problem of the month March 2000

Wikipedia, Sokoban

Example

From Zachary DeStefano, Jun 05 2021: (Start)
In standard Sokoban notation, for n = 14 the a(14) = 48 board is:
  #####
  ##@.#
  ##$ #
  #   #
  # #$###
  #   *.#
  #######
(End)

Crossrefs

Cf. A195668, A195669.

Sequence in context: A309289 A220315 A070819 * A005244 A058541 A023672

Adjacent sequences: A195664 A195665 A195666 * A195668 A195669 A195670

Keyword

nonn,more,hard

Author

Kausthub Gudipati, Sep 22 2011

Extensions

a(11) corrected and a(15)-a(17) added by Zachary DeStefano, Jun 05 2021

a(18)-a(20) from Zachary DeStefano, Jul 29 2021

Status

approved