A014225 Number of initial pieces needed to reach level n in the Solitaire Army game.

1, 2, 4, 8, 20

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full

Comments

Level 4 is the highest level that can be reached.

References

• E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 715.

Links

• Burkard Polster, How did Fibonacci beat the Solitaire army?, Mathologer video, 2022.
• Zvezdelina Stankova and Brady Haran, Conway Checkers (proof), Numberphile video, 2018.
• Eric Weisstein's World of Mathematics, Conway's Soldiers

Crossrefs

Cf. A000980.