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%I #37 Jun 28 2022 10:58:46
%S 1,4,17,92,495,2475,11771,52226,212527,789228,2640323,7870055,
%T 20730606,47916748,96715832,170154214,260956703,349541944,410294786,
%U 423631649,385887175,310724581,221398196,139580751,77748102,38162987,16445627,6178002,2007607,559163,131269,25378,4012,481,36,4
%N Number of distinct board states reachable in n jumps in European Peg Solitaire.
%H Sander G. Huisman, <a href="/A355295/a355295.m.txt">Mathematica program for this sequence</a>
%e 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.
%e * * *
%e * * * * *
%e * * * O * * *
%e * * * * * * *
%e * * * * * * *
%e * * * * *
%e * * *
%e The next move yields the next 4 states:
%e * * * * * * * O * * * *
%e * * * * * * * * * * * * O * * * * * * *
%e * O O * * * * * * * * * * * * * * * * * * * * * * O O *
%e * * * * * * * * * * O * * * * * * * * * * * * * * * * *
%e * * * * * * * * * * O * * * * * * * * * * * * * * * * *
%e * * * * * * * * * * * * * * * * * * * *
%e * * * * * * * * * * * *
%Y Cf. A335656, A351286, A112737, A130515, A350561.
%K nonn,fini,full
%O 0,2
%A _Sander G. Huisman_, Jun 27 2022
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