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 A112738 On the standard 33-hole cross-shaped peg solitaire board, the number of distinct board positions after n jumps that can still be reduced to one peg at the center (starting with the center vacant). 0
 1, 1, 2, 8, 38, 164, 635, 2089, 6174, 16020, 35749, 68326, 112788, 162319, 204992, 230230, 230230, 204992, 162319, 112788, 68326, 35749, 16020, 6174, 2089, 635, 164, 38, 8, 2, 1, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The reason the sequence is palindromic is because playing the game backward is the same as playing it forward, with the notions of "hole" and "peg" interchanged. LINKS George I. Bell, English Peg Solitaire Bill Butler, Durango Bill's 33-hole Peg Solitaire FORMULA Satisfies a(n)=a(31-n) for 0<=n<=31 (sequence is a palindrome). EXAMPLE There are four possible first jumps, but they all lead to the same board position (rotationally equivalent), thus a(1)=1. CROSSREFS Cf. A014225, A014227, A112737. Sequence in context: A159051 A053520 A202744 * A220806 A192529 A155609 Adjacent sequences:  A112735 A112736 A112737 * A112739 A112740 A112741 KEYWORD full,nonn,fini AUTHOR George Bell (gibell(AT)comcast.net), Sep 16 2005 STATUS approved

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Last modified August 12 11:33 EDT 2022. Contains 356069 sequences. (Running on oeis4.)