A183053 Sums of knight's moves over the square |i|+|j|<=n on infinite chessboard.

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

Offset: 0

Author

Clark Kimberling, Dec 22 2010

Keywords

• nonn

Comments

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

Crossrefs

Cf. A065775, A183051, A183052.

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