%I #13 Jun 16 2020 17:46:43

%S 1,4,12,60,296,1338,5648,21842,77559,249690,717788,1834379,4138302,

%T 8171208,14020166,20773236,26482824,28994876,27286330,22106348,

%U 15425572,9274496,4792664,2120101,800152,255544,68236,14727,2529,334,32,5

%N Number of distinct board states reachable in n jumps, in English Peg Solitaire.

%H Robin Houston, <a href="https://github.com/robinhouston/solitaire">Code used to generate this sequence</a>

%e Example: for n=1 the four states are:

%e *** *** *** ***

%e *.* *** *** ***

%e ***.*** ******* ******* *******

%e ******* ****..* ******* *..****

%e ******* ******* ***.*** *******

%e *** *** *.* ***

%e *** *** *** ***

%Y Identifying positions that are related by a symmetry of the board gives A112737.

%K fini,full,nonn

%O 0,2

%A _Robin Houston_, Jun 16 2020