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 A183052 Sums of knight's moves from (0,0) to points on the square |i|+|j|=n on infinite chessboard. 2

%I

%S 0,12,16,20,40,60,72,92,128,148,184,228,248,300,360,380,440,516,544,

%T 612,696,732,816,908,944,1044,1152,1188,1296,1420,1464,1580,1712,1764,

%U 1896,2036,2088,2236,2392,2444,2600,2772

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

%C Partial sums of A183053, which counts knight's moves from (0,0) to all points (i,j) such that |i|+|j|<=n.

%F See A065775.

%F a(n) = 4*A183050(n).

%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)^3*(x^2+1)*(x^2+x+1)^2). - _Colin Barker_, May 04 2014

%e 0=0

%e 12=3+3+3+3

%e 16=2+2+2+2+2+2+2+2

%e 20=3+1+1+3+1+1+3+1+1+3+1+1

%e 40=4*(3+3+3+3+3)

%Y Cf. A065775, A183050, A183051, A183053.

%K nonn

%O 0,2

%A _Clark Kimberling_, Dec 22 2010

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Last modified January 27 16:36 EST 2022. Contains 350610 sequences. (Running on oeis4.)