OFFSET
1,2
COMMENTS
We use unit moves parallel to the triangle edges.
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..25
Rémy Sigrist, Illustrations of a(5) = 50
Rémy Sigrist, PARI program for A343310
Eric Weisstein's World of Mathematics, Triangular Grid Graph
FORMULA
a(n) <= A343307(n).
EXAMPLE
For n = 3:
- we have the following bilaterally symmetrical paths:
. . . . o
. / \
. . . o o o---o o o
. / \ / \ / \ / \
. o---o---o o o o o . o o . o
- so a(3) = 4.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn,walk
AUTHOR
Rémy Sigrist, Apr 11 2021
EXTENSIONS
a(12)-a(13) from Martin Ehrenstein, May 02 2021
Terms a(14) and beyond from Andrew Howroyd, Feb 05 2022
STATUS
approved