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.

A307016 List coordinates (x,y) of the points in an hexagonal grid, sorted first by radial coordinate r and in case of ties, by polar angle 0 <= phi < 2*Pi in a polar coordinate system. Sequence gives the second coordinate in a barycentric coordinate system.

This page as a plain text file.
%I A307016 #17 Nov 07 2023 14:35:10
%S A307016 0,0,1,1,0,-1,-1,1,2,1,-1,-2,-1,0,2,2,0,-2,-2,1,2,3,3,2,1,-1,-2,-3,-3,
%T A307016 -2,-1,0,3,3,0,-3,-3,2,4,2,-2,-4,-2,1,3,4,4,3,1,-1,-3,-4,-4,-3,-1,0,4,
%U A307016 4,0,-4,-4,2,3,5,5,3,2,-2,-3,-5,-5,-3,-2,1
%N A307016 List coordinates (x,y) of the points in an hexagonal grid, sorted first by radial coordinate r and in case of ties, by polar angle 0 <= phi < 2*Pi in a polar coordinate system. Sequence gives the second coordinate in a barycentric coordinate system.
%C A307016 Cartesian coordinates (x,y) of the grid points are converted to barycentric coordinates (i,j,k) by i = x - y/sqrt(3), j = 2*y/sqrt(3), k = x + y/sqrt(3). The sequence gives j. i is given in A307014, k is given in A307017.
%H A307016 Hugo Pfoertner, <a href="/A307016/b307016.txt">Table of n, a(n) for n = 0..9060</a>, covering range r <= 50.
%H A307016 Hugo Pfoertner, <a href="/A307014/a307014.gp.txt">PARI program for A307014 and A307016</a>.
%o A307016 (PARI) \\ See Link
%o A307016 \\ To create the data of this sequence load program from file and call
%o A307016 a307014_16(5, 6) \\ Hugo Pfoertner, Nov 07 2023
%Y A307016 Cf. A004016, A035019, A038590, A307014, A307017.
%K A307016 sign,look
%O A307016 0,9
%A A307016 _Hugo Pfoertner_, Mar 21 2019