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.

A237748 Number of different ways to color the vertices of an n-dimensional hypercube using at most 2 colors.

This page as a plain text file.
%I A237748 #29 Apr 22 2025 02:43:01
%S A237748 4,6,23,496,2275974,800648638402240,
%T A237748 1054942853799126580390222487977120,
%U A237748 22436153203535039105819651040959324360753617244078062654624560815030272
%N A237748 Number of different ways to color the vertices of an n-dimensional hypercube using at most 2 colors.
%C A237748 Two colorings are regarded as the same if they are conjugated by a permutation of the vertices caused by a rotation of the hypercube.
%C A237748 Regarding mirrored coloring also as the same, the number of ways appears to be given by A000616. - _Seiichi Azuma_, Feb 14 2014
%H A237748 Seiichi Azuma, <a href="http://searial.web.fc2.com/hypercube/index.html">Number of different ways to color vertices of a n-dimensional hypercube using at most K colors</a>
%e A237748 For n=2, there are 6 patterns to color the vertices of the square:
%e A237748 ..1..1....1..1....1..1....1..0....1..0....0..0
%e A237748 ..1..1....1..0....0..0....0..1....0..0....0..0
%e A237748 For example, the next pattern is regarded as the same with the 3rd one above:
%e A237748 ..1..0
%e A237748 ..1..0
%Y A237748 Cf. A000543.
%Y A237748 Column 2 of A325012.
%K A237748 nonn
%O A237748 1,1
%A A237748 _Seiichi Azuma_, Feb 12 2014