%N Large-number statistic from the enumeration of domino tilings of a 5-pillow of order n.
%C A 5-pillow is a generalized Aztec pillow. The 5-pillow of order n is a rotationally-symmetric region. It has a 2 X 2n central band of squares and then steps up from this band with steps of 5 horizontal squares to every 1 vertical square and steps down with steps of 1 horizontal square to every 1 vertical square.
%D C. Hanusa (2005). A Gessel-Viennot-Type Method for Cycle Systems with Applications to Aztec Pillows. PhD Thesis. University of Washington, Seattle, USA.
%e The number of domino tilings of the 5-pillow of order 6 is 1666=7^2*34. A112837(n)=7.
%Y A112833 breaks down as A112834^2 times A112835, where A112835 is not necessarily squarefree.
%Y 3-pillows: A112833-A112835; 7-pillows: A112839-A112841; 9-pillows: A112842-A112844.
%A Christopher Hanusa (chanusa(AT)math.binghamton.edu), Sep 21 2005