login
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.
7
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, -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, 4, 0, -4, -4, 2, 3, 5, 5, 3, 2, -2, -3, -5, -5, -3, -2, 1
OFFSET
0,9
COMMENTS
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.
LINKS
Hugo Pfoertner, Table of n, a(n) for n = 0..9060, covering range r <= 50.
PROG
(PARI) \\ See Link
\\ To create the data of this sequence load program from file and call
a307014_16(5, 6) \\ Hugo Pfoertner, Nov 07 2023
CROSSREFS
KEYWORD
sign,look
AUTHOR
Hugo Pfoertner, Mar 21 2019
STATUS
approved