

A326764


Lexicographically earliest array T(x,y,z) of nonnegative integers with x, y, z >= 0, such that the terms alongside any line parallel to any of the 13 axes of rotation of a cube are distinct.


11



0, 1, 2, 3, 2, 4, 5, 1, 6, 4, 3, 0, 6, 5, 7, 0, 4, 0, 1, 2, 4, 1, 7, 3, 8, 9, 2, 9, 10, 3, 5, 10, 8, 7, 1, 5, 6, 0, 2, 5, 10, 7, 11, 12, 1, 0, 6, 4, 11, 8, 3, 1, 5, 9, 0, 6, 6, 3, 1, 0, 9, 8, 5, 4, 13, 11, 4, 12, 14, 2, 0, 7, 8, 3, 6, 5, 2, 8, 2, 0, 1, 3, 4, 5
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OFFSET

0,3


COMMENTS

The triangle is read by increasing x+y+z and then increasing x+y and then increasing x.
The sequences A326757, A326758 and A326759 give the X, Y and Zcoordinates, respectively, of the 0's in array T.


LINKS



FORMULA

T(0, 0, z) = z.


EXAMPLE

Array T(x,y,z) begins:
 z=3:
0 3
+
x/y 0
 z=2:
1 0
0 2 6
+
x/y 0 1
 z=1:
2 5
1 4 7
0 1 5 0
+
x/y 0 1 2
 z=0:
3 4
2 1 0
1 2 6 1
0 0 3 4 2
+
x/y 0 1 2 3


PROG

(PARI) See Links section.


CROSSREFS



KEYWORD

nonn,tabf


AUTHOR



STATUS

approved



