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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
 0, 12, 16, 20, 40, 60, 72, 92, 128, 148, 184, 228, 248, 300, 360, 380, 440, 516, 544, 612, 696, 732, 816, 908, 944, 1044, 1152, 1188, 1296, 1420, 1464, 1580, 1712, 1764, 1896, 2036, 2088, 2236, 2392, 2444, 2600, 2772 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Partial sums of A183053, which counts knight's moves from (0,0) to all points (i,j) such that |i|+|j|<=n. LINKS FORMULA See A065775. a(n) = 4*A183050(n). 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 EXAMPLE 0=0 12=3+3+3+3 16=2+2+2+2+2+2+2+2 20=3+1+1+3+1+1+3+1+1+3+1+1 40=4*(3+3+3+3+3) CROSSREFS Cf. A065775, A183050, A183051, A183053. Sequence in context: A337703 A337700 A243538 * A344079 A240052 A070329 Adjacent sequences:  A183049 A183050 A183051 * A183053 A183054 A183055 KEYWORD nonn AUTHOR Clark Kimberling, Dec 22 2010 STATUS approved

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Last modified December 4 07:28 EST 2021. Contains 349478 sequences. (Running on oeis4.)