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A183053 Sums of knight's moves over the square |i|+|j|<=n on infinite chessboard. 5
0, 12, 28, 48, 88, 148, 220, 312, 440, 588, 772, 1000, 1248, 1548, 1908, 2288, 2728, 3244, 3788, 4400, 5096, 5828, 6644, 7552, 8496, 9540, 10692, 11880, 13176, 14596, 16060, 17640, 19352, 21116, 23012, 25048 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partial sums matching the squares |i|+|j|=n are given by A183052.

LINKS

Table of n, a(n) for n=0..35.

FORMULA

See A065775.

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)^4*(x^2+1)*(x^2+x+1)^2). - Colin Barker, May 04 2014

CROSSREFS

Cf. A065775, A183051, A183052.

Sequence in context: A158953 A223454 A107707 * A126195 A248547 A164533

Adjacent sequences:  A183050 A183051 A183052 * A183054 A183055 A183056

KEYWORD

nonn

AUTHOR

Clark Kimberling, Dec 22 2010

STATUS

approved

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Last modified November 30 05:46 EST 2021. Contains 349419 sequences. (Running on oeis4.)