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Sums of least numbers of knight's moves on vertical segments (n,0) to (n,n) on infinite chessboard.
1

%I #9 May 04 2014 16:55:12

%S 0,5,7,10,14,21,27,38,44,57,67,82,92,111,123,144,158,181,197,224,240,

%T 269,289,320,340,375,397,434,458,497,523,566,592,637,667,714,744,795,

%U 827,880,914,969,1005,1064,1100,1161,1201,1264

%N Sums of least numbers of knight's moves on vertical segments (n,0) to (n,n) on infinite chessboard.

%C Row sums of A183043.

%F Empirical g.f.: x*(2*x^10+2*x^9-2*x^8-4*x^7-5*x^6-x^5+x^4-2*x^3-5*x^2-7*x-5) / ((x-1)^3*(x+1)^2*(x^2+1)*(x^2+x+1)). - _Colin Barker_, May 04 2014

%Y Cf. A065775, A183043.

%K nonn

%O 0,2

%A _Clark Kimberling_, Dec 20 2010