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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

Table of n, a(n) for n=0..41.

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.)