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Expected number of distinct squares visited by a knight's random walk on an infinite chessboard after n steps, normalized to give an integer.
2

%I #7 Aug 28 2019 18:26:13

%S 1,2,23,240,2355,22320,205942,1866592,16664147,147164464,1287061400,

%T 11174456704,96362903378,826641224992,7055950608008,59990171328640,

%U 508090131646771,4290071141315376,36113651041694280,303253863622924416,2540231448366573400

%N Expected number of distinct squares visited by a knight's random walk on an infinite chessboard after n steps, normalized to give an integer.

%C Based on A326954/A326955.

%C a(0)=1; for n>0, a(n) = (A326954(n)/A326955(n))*2^(3*n-3). (It is only a conjecture that this is always an integer).

%Y Cf. A326954, A326955.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Aug 28 2019