A183044 Sums of least numbers of knight's moves on vertical segments (n,0) to (n,n) on infinite chessboard.

0, 5, 7, 10, 14, 21, 27, 38, 44, 57, 67, 82, 92, 111, 123, 144, 158, 181, 197, 224, 240, 269, 289, 320, 340, 375, 397, 434, 458, 497, 523, 566, 592, 637, 667, 714, 744, 795, 827, 880, 914, 969, 1005, 1064, 1100, 1161, 1201, 1264

Offset: 0

Author

Clark Kimberling, Dec 20 2010

Keywords

• nonn

Comments

Row sums of A183043.

Crossrefs

Cf. A065775, A183043.

Formula

Empirical g.f.: x*(2*x^10+2*x^9-2*x^8-4*x^7-5*x^6-x^5+x^4-2*x^3-5*x^2-7*x-5) / ((x-1)^3*(x+1)^2*(x^2+1)*(x^2+x+1)). - Colin Barker, May 04 2014