A335656 Number of distinct board states reachable in n jumps, in English Peg Solitaire.

1, 4, 12, 60, 296, 1338, 5648, 21842, 77559, 249690, 717788, 1834379, 4138302, 8171208, 14020166, 20773236, 26482824, 28994876, 27286330, 22106348, 15425572, 9274496, 4792664, 2120101, 800152, 255544, 68236, 14727, 2529, 334, 32, 5

Offset: 0

Author

Robin Houston, Jun 16 2020

Keywords

• fini
• full
• nonn

Examples

			Example: for n=1 the four states are:
      ***        ***        ***        ***
      *.*        ***        ***        ***
    ***.***    *******    *******    *******
    *******    ****..*    *******    *..****
    *******    *******    ***.***    *******
      ***        ***        *.*        ***
      ***        ***        ***        ***
		

Links

• Robin Houston, Code used to generate this sequence

Crossrefs

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