A014225 - OEIS

%I #18 Nov 14 2022 13:35:11

%S 1,2,4,8,20

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

%C Level 4 is the highest level that can be reached.

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

%H Burkard Polster, <a href="https://www.youtube.com/watch?v=BMPa0FA65Fk">How did Fibonacci beat the Solitaire army?</a>, Mathologer video, 2022.

%H Zvezdelina Stankova and Brady Haran, <a href="https://www.youtube.com/watch?v=Or0uWM9bT5w">Conway Checkers (proof)</a>, Numberphile video, 2018.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ConwaysSoldiers.html">Conway's Soldiers</a>

%K nonn,fini,full

%O 0,2

%A _N. J. A. Sloane_.