%I
%S 1,2,5,13,34,34,74,73,193,256,793,1049,2465,2857,6577,8226,21348,
%T 28872,74740,91970,222217,268769,669265,852305,2201945,2805760,
%U 7000777,8636081,21311098,26588770,67091170,85150213
%N Smallnumber statistic from the enumeration of domino tilings of a 7pillow of order n.
%C A 7pillow is a generalized Aztec pillow. The 7pillow of order n is a rotationallysymmetric region. It has a 2 X 2n central band of squares and then steps up from this band with steps of 7 horizontal squares to every 1 vertical square and steps down with steps of 1 horizontal square to every 1 vertical square.
%C Plotting A112841(n+2)/A112841(n) gives an intriguing damped sine curve.
%D C. Hanusa (2005). A GesselViennotType Method for Cycle Systems with Applications to Aztec Pillows. PhD Thesis. University of Washington, Seattle, USA.
%e The number of domino tilings of the 7pillow of order 8 is 23353=11^2*193. A112841(n)=193.
%Y A112839 breaks down as A112840^2 times A112841, where A112841 is not necessarily squarefree.
%Y 3pillows: A112833A112835; 5pillows: A112836A112838; 9pillows: A112842A112844.
%K easy,nonn
%O 0,2
%A Christopher Hanusa (chanusa(AT)math.binghamton.edu), Sep 21 2005
