I'm adding this to the OEIS, OK? %I A111189 %S A111189 1,2,3,9,20,75 %N A111189 Number of polyanygons with score n. %C A111189 These are similar to polyominos, except you can use any regular polygons of side = 1, as long as there's no overlapping. %C A111189 A regular polygon of N sides has a score of N-2: triangles score 1, squares 2, etc. The score for a polyanygon is the total of its components. %C A111189 These are with all symmetries (rotations, reflections) removed. %C A111189 Note that higher scoring polyanygons can have partially offset edges, so the perimeter might not always be an integer. %C A111189 The regular hexagon is regarded as different from the same shape made out of six triangles. It's also possible to make a dodecagon by adding a fringe or alternating triangles and squares to a regular hexagon. I think these are the only ambiguous cases. %e A111189 The 3 polyanygons of score 3 are the triamond (three regular triangles), a square stuck to a triangle (a house), and the pentagon. %O A111189 1,2 %K A111189 nonn,more %Y A111189 Initially this agrees with A001004 but will eventually diverge from it. %A A111189 Richard Schroeppel (rschroe(AT)sandia.gov), Oct 23 2005 NJAS