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A183052 Sums of knight's moves from (0,0) to points on the square |i|+|j|=n on infinite chessboard.

%I A183052 #11 Mar 31 2020 11:17:08
%S A183052 0,12,16,20,40,60,72,92,128,148,184,228,248,300,360,380,440,516,544,
%T A183052 612,696,732,816,908,944,1044,1152,1188,1296,1420,1464,1580,1712,1764,
%U A183052 1896,2036,2088,2236,2392,2444,2600,2772
%N A183052 Sums of knight's moves from (0,0) to points on the square |i|+|j|=n on infinite chessboard.
%C A183052 Partial sums of A183053, which counts knight's moves from (0,0) to all points (i,j) such that |i|+|j|<=n.
%F A183052 See A065775.
%F A183052 a(n) = 4*A183050(n).
%F A183052 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)^3*(x^2+1)*(x^2+x+1)^2). - _Colin Barker_, May 04 2014
%e A183052 0=0
%e A183052 12=3+3+3+3
%e A183052 16=2+2+2+2+2+2+2+2
%e A183052 20=3+1+1+3+1+1+3+1+1+3+1+1
%e A183052 40=4*(3+3+3+3+3)
%Y A183052 Cf. A065775, A183050, A183051, A183053.
%K A183052 nonn
%O A183052 0,2
%A A183052 _Clark Kimberling_, Dec 22 2010