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 A355295 Number of distinct board states reachable in n jumps in European Peg Solitaire. 1
 1, 4, 17, 92, 495, 2475, 11771, 52226, 212527, 789228, 2640323, 7870055, 20730606, 47916748, 96715832, 170154214, 260956703, 349541944, 410294786, 423631649, 385887175, 310724581, 221398196, 139580751, 77748102, 38162987, 16445627, 6178002, 2007607, 559163, 131269, 25378, 4012, 481, 36, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..35. Sander G. Huisman, Mathematica program for this sequence EXAMPLE The beginning state is missing the peg just above the center, as an initial state with the center peg removed does not yield any valid solutions where 1 peg is remaining. * * * * * * * * * * * O * * * * * * * * * * * * * * * * * * * * * * * * * The next move yields the next 4 states: * * * * * * * O * * * * * * * * * * * * * * * * O * * * * * * * * O O * * * * * * * * * * * * * * * * * * * * * * O O * * * * * * * * * * * O * * * * * * * * * * * * * * * * * * * * * * * * * * * O * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * CROSSREFS Cf. A335656, A351286, A112737, A130515, A350561. Sequence in context: A303793 A141154 A347340 * A316084 A112354 A020011 Adjacent sequences: A355292 A355293 A355294 * A355296 A355297 A355298 KEYWORD nonn,fini,full AUTHOR Sander G. Huisman, Jun 27 2022 STATUS approved

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Last modified September 21 10:18 EDT 2023. Contains 365501 sequences. (Running on oeis4.)