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Search: id:A028931
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| A028931 |
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Strings giving winning positions in Tchoukaillon (or Mancala) solitaire. |
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+0
6
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| 0, 1, 20, 21, 310, 311, 4200, 4201, 4220, 4221, 53110, 53111, 642000, 642001, 642020, 642021, 642310, 642311, 7531200, 7531201, 7531220, 7531221, 86420110, 86420111, 86424000, 86424001, 86424020, 86424021, 86424310, 86424311
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(n) gives string listing winning position for n stones.
Sum of numbers in a(n) is equal to n.
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LINKS
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D. M. Broline and D. E. Loeb (daniel.loeb(AT)verizon.net), The combinatorics of Mancala-Type games: Ayo, Tchoukaillon and 1/Pi, J. Undergrad. Math. Applic., vol. 16 (1995), pp. 21-36.
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FORMULA
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To get the next term, if rightmost 0 is in position i, replace it by i and subtract 1 from all earlier entries.
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EXAMPLE
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For example, a(10) = 53111; right-most 0 is in position 6, so get 653111 -> a(11) = 642000.
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CROSSREFS
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Cf. A002491, A007952, A028920, A028931, A028932, A028933.
Sequence in context: A082260 A041834 A063013 this_sequence A063012 A041836 A041837
Adjacent sequences: A028928 A028929 A028930 this_sequence A028932 A028933 A028934
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KEYWORD
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nonn,nice,easy,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Erich Friedman (erich.friedman(AT)stetson.edu).
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