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

0,2

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