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Sums of knight's moves from (0,0) to vertical segments (n,-n) to (n,n) on infinite chessboard.
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%I #9 May 04 2014 16:55:29

%S 0,7,12,17,26,39,50,71,84,109,128,157,178,215,238,279,308,353,384,437,

%T 470,527,566,627,668,737,780,853,902,979,1030,1115,1168,1257,1316,

%U 1409,1470,1571,1634,1739,1808,1917,1988,2105

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

%F T(n,-n)+T(n,-n+1)+...+T(n,n), where T is given at A065775.

%F Empirical g.f.: x*(4*x^8+2*x^7-8*x^6-7*x^5+5*x^3-3*x^2-12*x-7) / ((x-1)^3*(x+1)^2*(x^2+x+1)). - _Colin Barker_, May 04 2014

%Y Cf.A065775, A183045.

%K nonn

%O 0,2

%A _Clark Kimberling_, Dec 20 2010