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A183046
Sums of knight's moves from (0,0) to vertical segments (n,-n) to (n,n) on infinite chessboard.
1
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
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
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 20 2010
STATUS
approved