cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A112837 Large-number statistic from the enumeration of domino tilings of a 5-pillow of order n.

This page as a plain text file.
%I A112837 #4 Jun 01 2010 03:00:00
%S A112837 1,1,1,1,2,3,7,12,35,87,348,1107,5518,22464,150574,817057,7118856,
%T A112837 49644383,560434040,5142118400,76370120248,914476059335,
%U A112837 17638655014128,274908897964359,6936239946318204,141510942505315328
%N A112837 Large-number statistic from the enumeration of domino tilings of a 5-pillow of order n.
%C A112837 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 A112837 C. Hanusa (2005). A Gessel-Viennot-Type Method for Cycle Systems with Applications to Aztec Pillows. PhD Thesis. University of Washington, Seattle, USA.
%e A112837 The number of domino tilings of the 5-pillow of order 6 is 1666=7^2*34. A112837(n)=7.
%Y A112837 A112833 breaks down as A112834^2 times A112835, where A112835 is not necessarily squarefree.
%Y A112837 3-pillows: A112833-A112835; 7-pillows: A112839-A112841; 9-pillows: A112842-A112844.
%K A112837 nonn
%O A112837 0,5
%A A112837 Christopher Hanusa (chanusa(AT)math.binghamton.edu), Sep 21 2005