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%I #34 Sep 30 2022 05:55:44
%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.
%C Using the chromatic (tet-12) scale, (if C=0, 12, 24...) all integers correspond to pitches C, C#, G#, A, Bb, B, a recursive pattern that evenly bisects the octave and avoids the tritone (IC6). - _Nik Bizzell-Browning_, Apr 27 2019
%H Nik Bizzell-Browning, <a href="https://sonicimmersiontheory.com/tchoukaillon-solitaire-sequence/">Tchoukaillon solitaire sequence</a>, Chromatic pitch table and example.
%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, 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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