A183046 Sums of knight's moves from (0,0) to vertical segments (n,-n) to (n,n) on infinite chessboard.

0, 7, 12, 17, 26, 39, 50, 71, 84, 109, 128, 157, 178, 215, 238, 279, 308, 353, 384, 437, 470, 527, 566, 627, 668, 737, 780, 853, 902, 979, 1030, 1115, 1168, 1257, 1316, 1409, 1470, 1571, 1634, 1739, 1808, 1917, 1988, 2105

Offset

0,2

Links

Table of n, a(n) for n=0..43.

Formula

T(n,-n)+T(n,-n+1)+...+T(n,n), where T is given at A065775.

Empirical g.f.: x*(4*x^8+2*x^7-8*x^6-7*x^5+5*x^3-3*x^2-12*x-7) / ((x-1)^3*(x+1)^2*(x^2+x+1)). - Colin Barker, May 04 2014

Crossrefs

Cf.A065775, A183045.

Sequence in context: A272733 A272741 A091573 * A272785 A272808 A092094

Adjacent sequences: A183043 A183044 A183045 * A183047 A183048 A183049

Keyword

nonn

Author

Clark Kimberling, Dec 20 2010

Status

approved