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Sums of knight's moves over the square |i|+|j|<=n on infinite chessboard.
5

%I #10 Jun 23 2021 11:20:11

%S 0,12,28,48,88,148,220,312,440,588,772,1000,1248,1548,1908,2288,2728,

%T 3244,3788,4400,5096,5828,6644,7552,8496,9540,10692,11880,13176,14596,

%U 16060,17640,19352,21116,23012,25048

%N Sums of knight's moves over the square |i|+|j|<=n on infinite chessboard.

%C Partial sums matching the squares |i|+|j|=n are given by A183052.

%F See A065775.

%F Empirical g.f.: -4*x*(2*x^12-2*x^11+2*x^10-4*x^9+2*x^8-x^7-x^6-4*x^4-4*x^2-x-3) / ((x-1)^4*(x^2+1)*(x^2+x+1)^2). - _Colin Barker_, May 04 2014

%Y Cf. A065775, A183051, A183052.

%K nonn

%O 0,2

%A _Clark Kimberling_, Dec 22 2010