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A183047 Sums of least knight's moves from (0,0) to points in the square lattice [-n,n]x[-n,n].

%I A183047 #9 May 04 2014 15:39:02
%S A183047 0,20,52,112,200,340,524,784,1096,1508,1988,2584,3264,4084,4996,6072,
%T A183047 7256,8620,10108,11800,13624,15676,17876,20320,22928,25804,28852,
%U A183047 32192,35720,39556,43596,47968,52552,57492,62660,68200,73984
%N A183047 Sums of least knight's moves from (0,0) to points in the square lattice [-n,n]x[-n,n].
%F A183047 See A065775.
%F A183047 Empirical g.f.: -4*x*(2*x^8+2*x^7-4*x^6-5*x^5-2*x^4-x^3-5*x^2-8*x-5) / ((x-1)^4*(x+1)^2*(x^2+x+1)). - _Colin Barker_, May 04 2014
%e A183047 a(2)=52 counts the knight's moves to these points:
%e A183047 4 1 2 1 4
%e A183047 1 2 3 2 1
%e A183047 2 3 0 3 2
%e A183047 1 2 3 2 1
%e A183047 4 1 2 1 4
%e A183047 a(0)=0 for the center, and a(1)=20 for the square
%e A183047 2 3 2
%e A183047 3 0 3
%e A183047 2 3 2
%Y A183047 Cf. A065775, A183048.
%K A183047 nonn
%O A183047 0,2
%A A183047 _Clark Kimberling_, Dec 20 2010