A183050 Sums of knight's moves to points as in A183049.

0, 3, 4, 5, 10, 15, 18, 23, 32, 37, 46, 57, 62, 75, 90, 95, 110, 129, 136, 153, 174, 183, 204, 227, 236, 261, 288, 297, 324, 355, 366, 395, 428, 441, 474, 509, 522, 559, 598, 611, 650, 693, 708, 749, 794, 811, 856, 903, 920, 969, 1020

Offset

0,2

Links

Table of n, a(n) for n=0..50.

Formula

See A065775.

Empirical g.f.: 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

a(3)=5=3+1+1, these summands being the least numbers of knight's moves from (0,0) to the points (3,0), (2,1), (1,2) on the 3rd diagonal in the 1st quadrant - which is 1/4 of a 3rd concentric square about the origin.  See A183052 for sums over the concentric squares.

Crossrefs

Cf. A065775, A183049, A183051.

Sequence in context: A361666 A240793 A079351 * A176848 A058615 A082612

Adjacent sequences: A183047 A183048 A183049 * A183051 A183052 A183053

Keyword

nonn

Author

Clark Kimberling, Dec 22 2010

Status

approved