necklaces : sequitur

[Wouter Meeussen]

on the verge of craching my machine (& lack of my combinatoric intelligence)

{1},
{1, 2},
{1, 3, 4},
{1, 4, 7, 10},
{1, 5, 12, 22, 26},
{1, 6, 19, 43, 66, 80},
{1, 7, 26, 73, 143, 217, 246},
{1, 8, 35, 116, 273, 504, 715, 810},
{1, 9, 46, 172, 476, 1038, 1768, 2438, 2704},
{1, 10, 57, 245, 776, 1944, 3876, 6310, 8398, 9252},
{1, 11, 70, 335, 1197, 3399, 7752, 14550, 22610, 29414, 32066}

with column next-to-next-to-last (m=n-2)
an astonishing {1,4,12,43,143,504,1768,6310,22610,..}
that might be

ID Number: A003444 (Formerly M3455)
Sequence:  1,4,12,43,143,504,1768,6310,22610,81752,297160,1086601
Name:      Dissections of a polygon.
References R. C. Read, On general dissections of a polygon, Aequat. Math. 18
              (1978), 370-388.
           P. Lisonek, Closed forms for the number of polygon dissections.
              Journal of Symbolic Computation 20 (1995), 595-601.

(oh no! not dissections of polygons!
a man of *my* reputation? at *this* time of night? surely not!)


Wouter Meeussen
wouter.meeussen at pandora.be