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Triangular array, T(i,j)=number of knight's moves to points on vertical segments (n,-n), (n,-n+1), ... (n,n) on infinite chessboard.
2

%I #7 Jan 09 2024 16:35:21

%S 0,2,3,2,4,1,2,1,4,2,3,2,3,2,3,2,4,3,2,3,2,3,2,3,4,4,3,4,3,4,3,4,3,4,

%T 3,4,4,5,4,3,4,3,4,3,4,3,4,5,4,6,5,4,5,4,5,4,5,4,5,4,5,4,5,6,6,5,6,5,

%U 4,5,4,5,4,5,4,5,4,5,6,5,6,6,7,6,5,6,5,6,5,6,5,6,5

%N Triangular array, T(i,j)=number of knight's moves to points on vertical segments (n,-n), (n,-n+1), ... (n,n) on infinite chessboard.

%F See A065775.

%e First five rows:

%e 0

%e 2 3 2

%e 4 1 2 1 4

%e 2 3 2 3 2 3 2

%e 4 3 2 3 2 3 2 3 4

%Y Cf. A065775, A183043.

%K nonn,tabf

%O 1,2

%A _Clark Kimberling_, Dec 20 2010