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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 December 9 12:54 EST 2022. Contains 358700 sequences. (Running on oeis4.)