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A144625 List of triples (i,j,k) (i>=0, j>=0, k>= 0) in canonical order used to convert an infinite tetrahedron of numbers to a linear sequence. 5
0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 3, 0, 0, 2, 1, 0, 1, 2, 0, 0, 3, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 3, 4, 0, 0, 3, 1, 0, 2, 2, 0, 1, 3, 0, 0, 4, 0, 3, 0, 1, 2, 1, 1, 1, 2, 1, 0, 3, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 3 (list; graph; refs; listen; history; internal format)
OFFSET

0,13

COMMENTS

The triples are sorted first according to their sum, then by the value of k, then by the value of j.

LINKS

N. J. A. Sloane, The 6545 triples with i+j+k <= 32

EXAMPLE

i j k

-----

0 0 0

1 0 0

0 1 0

0 0 1

2 0 0

1 1 0

0 2 0

1 0 1

0 1 1

0 0 2

3 0 0

2 1 0

1 2 0

0 3 0

2 0 1

1 1 1

0 2 1

1 0 2

0 1 2

0 0 3

4 0 0

3 1 0

2 2 0

1 3 0

0 4 0

3 0 1

2 1 1

1 2 1

0 3 1

2 0 2

1 1 2

0 2 2

1 0 3

0 1 3

0 0 4

...

MAPLE

for n from 0 to 7 do

for k from 0 to n do

for j from 0 to n do

for i from 0 to n do

if i+j+k=n then lprint(i, j, k); fi;

od: od: od: od:

CROSSREFS

Cf. A144627-A144629 for the individual columns.

Sequence in context: A124762 A057558 A159708 * A025442 A128582 A101606

Adjacent sequences:  A144622 A144623 A144624 * A144626 A144627 A144628

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 18 2009

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Last modified February 17 11:46 EST 2012. Contains 206011 sequences.