A047879 a(n)=Sum{T(n,i): i=0,1,...,n}+Sum{T(i,n): i=0,1,...,n-1}, array T counting least number of knight's moves as in A049604.

0, 10, 10, 18, 24, 38, 50, 70, 82, 108, 126, 156, 176, 212, 236, 278, 304, 350, 382, 434, 466, 524, 562, 624, 664, 732, 776, 850, 896, 974, 1026, 1110, 1162, 1252, 1310, 1404, 1464, 1564, 1628, 1734, 1800, 1910, 1982, 2098, 2170

Offset: 0

Author

Clark Kimberling

Keywords

• nonn

Crossrefs

Cf. A049604.

Formula

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