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A335656
Number of distinct board states reachable in n jumps, in English Peg Solitaire.
4
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
0,2
EXAMPLE
Example: for n=1 the four states are:
*** *** *** ***
*.* *** *** ***
***.*** ******* ******* *******
******* ****..* ******* *..****
******* ******* ***.*** *******
*** *** *.* ***
*** *** *** ***
CROSSREFS
Identifying positions that are related by a symmetry of the board gives A112737.
Sequence in context: A356662 A356661 A351286 * A355268 A286073 A357711
KEYWORD
fini,full,nonn
AUTHOR
Robin Houston, Jun 16 2020
STATUS
approved