

A112840


Largenumber statistic from the enumeration of domino tilings of a 7pillow of order n.


3



1, 1, 1, 1, 1, 2, 3, 7, 11, 28, 51, 154, 389, 1556, 4833, 22477, 80532, 440512, 1916580, 13388593, 73763989, 632754664, 4175659899, 42606281476, 336819337955, 4181786155008, 40981322633555, 630857431556758, 7576627032674784
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OFFSET

0,6


COMMENTS

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.


REFERENCES

C. Hanusa (2005). A GesselViennotType Method for Cycle Systems with Applications to Aztec Pillows. PhD Thesis. University of Washington, Seattle, USA.


LINKS

Table of n, a(n) for n=0..28.


EXAMPLE

The number of domino tilings of the 7pillow of order 8 is 23353=11^2*193. A112840(n)=11.


CROSSREFS

A112839 breaks down as A112840^2 times A112841, where A112841 is not necessarily squarefree.
3pillows: A112833A112835; 5pillows: A112836A112838; 9pillows: A112842A112844.
Sequence in context: A107858 A214938 A143926 * A014981 A227885 A096362
Adjacent sequences: A112837 A112838 A112839 * A112841 A112842 A112843


KEYWORD

nonn


AUTHOR

Christopher Hanusa (chanusa(AT)math.binghamton.edu), Sep 21 2005


STATUS

approved



