0,2

J. A. De Loera, D. Haws, R. Hemmecke, P. Huggins, B. Sturmfels and R. Yoshida, Short Rational Functions for Toric Algebra and Applications, submitted to J. Symbolic Computation, 2004.

G.f.:= r(t)/s(t), where

r = t^54+150*t^51+5837*t^48+63127*t^45+331124*t^42+1056374*t^39+2326380*t^36+3842273*t^33+5055138*t^30+5512456*t^27+5055138*t^24+3842273*t^21+2326380*t^18+1056374*t^15+331124*t^12+63127*t^9+5837*t^6+150*t^3+1 and

s = (t^3+1)^4*(t^12+t^9+t^6+t^3+1)*(1-t^3)^9*(t^6+t^3+1).

Adjacent sequences: A111083 A111084 A111085 this_sequence A111087 A111088 A111089

Sequence in context: A014576 A087414 A073938 this_sequence A049515 A049519 A053243

nonn

njas, Oct 12 2005

This paper also gives a g.f. for the number of 5 X 5 magic squares with magic sum n. This may not yet be in the OEIS - however the g.f. is rather complicated. - njas