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A130515
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In triangular peg solitaire, number of distinct feasible pairs starting with one peg missing and finishing with one peg.
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2
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1, 4, 3, 17, 29, 27, 80, 125, 108, 260, 356, 300, 637, 832, 675, 1341, 1665, 1323, 2500, 3025, 2352, 4304, 5072, 3888, 6929, 8036, 6075, 10625, 12125, 9075, 15616, 17629, 13068, 22212, 24804, 18252, 30685, 34000, 24843, 41405, 45521
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OFFSET
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2,2
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COMMENTS
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Coincides with A130516 for n >= 6.
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LINKS
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George I. Bell, Table of n, a(n) for n = 2..52
George I. Bell, Solving Triangular Peg Solitaire [arXiv:math/0703865v4]
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FORMULA
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Reference gives an explicit formula for a(n).
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PROG
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(PARI) a(n) = {my(T = n*(n+1)/2); if (n % 3 == 1, (T-1)^2/27, if ( n % 2 == 0, (4*T^2 + 9*n^2)/72, (4*T^2 + 9*(n+1)^2)/72; ); ); } \\ Michel Marcus, Apr 21 2013
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CROSSREFS
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Cf. A130516.
Sequence in context: A060509 A113203 A034486 * A161893 A192773 A183231
Adjacent sequences: A130512 A130513 A130514 * A130516 A130517 A130518
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Aug 09 2007
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EXTENSIONS
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More terms from George I. Bell (gibell(AT)comcast.net), Sep 27 2007
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STATUS
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approved
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