OFFSET
0,1
COMMENTS
A legal walk on a Boggle board is from one vertex to a vertex adjacent orthogonally or diagonally.
LINKS
Eugene McDonnell, Remarks on Game of "Boggle"
FORMULA
Formula unknown, values computed empirically.
PROG
(Python)
def nn(c): # neighbors of c
i, j = divmod(c, 4)
N = set((i+io, j+jo) for io in [-1, 0, 1] for jo in [-1, 0, 1]) - {(i, j)}
return [4*i+j for i, j in N if 0 <= i < 4 and 0 <= j < 4]
def afind():
n, paths = 0, {(0, )}
while n+2 <= 16:
paths1 = set(p + (e, ) for p in paths for e in nn(p[-1]) if e not in p)
print(len(paths1), end=", ")
n, paths = n+1, paths1
afind() # Michael S. Branicky, Mar 15 2021
CROSSREFS
KEYWORD
fini,full,nonn
AUTHOR
Eugene McDonnell (EEMcD(AT)AOL.com), Jul 01 2001
STATUS
approved