login
Sums of knight's moves to points as in A183049.
4

%I #8 May 04 2014 16:53:59

%S 0,3,4,5,10,15,18,23,32,37,46,57,62,75,90,95,110,129,136,153,174,183,

%T 204,227,236,261,288,297,324,355,366,395,428,441,474,509,522,559,598,

%U 611,650,693,708,749,794,811,856,903,920,969,1020

%N Sums of knight's moves to points as in A183049.

%F See A065775.

%F Empirical g.f.: 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 a(3)=5=3+1+1, these summands being the least numbers of knight's moves from (0,0) to the points (3,0), (2,1), (1,2) on the 3rd diagonal in the 1st quadrant - which is 1/4 of a 3rd concentric square about the origin. See A183052 for sums over the concentric squares.

%Y Cf. A065775, A183049, A183051.

%K nonn

%O 0,2

%A _Clark Kimberling_, Dec 22 2010