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.

A092374 The O(1) loop model on the square lattice is defined as follows: At every vertex the loop turns to the left or to the right with equal probability, unless the vertex has been visited before, in which case the loop leaves the vertex via the unused edge. Every vertex is visited twice. The probability that a face of the lattice on an n X infinity cylinder is surrounded by two loops is conjectured to be given by a(n)/A_{HT}(n)^2, where A_{HT}(n) is the number of n X n half turn symmetric alternating sign matrices.

Table of values

n a(n)
4 1
5 1
6 351
7 1274
8 744189
9 8947743
10 11416135802
11 434427086992
12 1338566241796974
13 157000849238433534
14 1228161523785291020355
15 436532099633273680844304
16 8925012390072153509699100030
17 9502129655604190413091924623054

List of values

[1, 1, 351, 1274, 744189, 8947743, 11416135802, 434427086992, 1338566241796974, 157000849238433534, 1228161523785291020355, 436532099633273680844304, 8925012390072153509699100030, 9502129655604190413091924623054]