%N Number of domino tilings of a 7-pillow of order n.
%C A 7-pillow is a generalized Aztec pillow. The 7-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 7 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 7-pillow of order 8 is 23353=11^2*193.
%Y A112839 breaks down as A112840^2 times A112841, where A112841 is not necessarily squarefree.
%Y 3-pillows: A112833-A112835; 5-pillows: A112836-A112838; 9-pillows: A112842-A112844.
%A Christopher Hanusa (chanusa(AT)math.binghamton.edu), Sep 21 2005