

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
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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^122*x^11+2*x^104*x^9+2*x^8x^7x^64*x^44*x^2x3) / ((x1)^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



