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A028931 Strings giving winning positions in Tchoukaillon (or Mancala) solitaire. 6

%I

%S 0,1,20,21,310,311,4200,4201,4220,4221,53110,53111,642000,642001,

%T 642020,642021,642310,642311,7531200,7531201,7531220,7531221,86420110,

%U 86420111,86424000,86424001,86424020,86424021,86424310,86424311

%N Strings giving winning positions in Tchoukaillon (or Mancala) solitaire.

%C a(n) gives string listing winning position for n stones.

%C Sum of numbers in a(n) is equal to n.

%H D. M. Broline and _Daniel E. Loeb_, <a href="http://arXiv.org/abs/math.CO/9502225">The combinatorics of Mancala-Type games: Ayo, Tchoukaillon and 1/Pi</a>, J. Undergrad. Math. Applic., vol. 16 (1995), pp. 21-36.

%F To get the next term, if rightmost 0 is in position i, replace it by i and subtract 1 from all earlier entries.

%e For example, a(10) = 53111; rightmost 0 is in position 6, so get 653111 -> a(11) = 642000.

%Y Cf. A002491, A007952, A028920, A028931, A028932, A028933.

%K nonn,nice,easy,base

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Erich Friedman_

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Last modified February 16 19:49 EST 2019. Contains 320167 sequences. (Running on oeis4.)