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.

A375299 Number of longest winning paths in n X n Hex.

This page as a plain text file.
%I A375299 #13 Aug 19 2024 11:44:27
%S A375299 1,3,1,4,23,51,20,115,5568,12,3521,40,1058,2104,668,7540,1298,83648,
%T A375299 16631833,70630
%N A375299 Number of longest winning paths in n X n Hex.
%C A375299 A winning path is a set of cells connecting the top edge to the bottom edge, minimal with respect to inclusion.
%H A375299 Peter Selinger, <a href="https://arxiv.org/abs/2408.05601">Longest winning paths in Hex</a>, arXiv:2408.05601 [math.CO], 2024.
%e A375299 For n = 4, the longest winning path has length 8, and the a(4) = 4 winning paths of length 8 are
%e A375299    ========     ========     ========     ========
%e A375299     X . . .      . X . .      X . . .      . X . .
%e A375299      X . X X      X . X X      X . X X      X . X X
%e A375299       X X . X      X X . X      X X . X      X X . X
%e A375299        . . . X      . . . X      . . X .      . . X .
%e A375299        ========     ========     ========     ========
%Y A375299 Length of longest path is A375298.
%Y A375299 Cf. A357516.
%K A375299 nonn,more
%O A375299 1,2
%A A375299 _Peter Selinger_, Aug 13 2024