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A144625
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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.
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7
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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
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OFFSET
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0,13
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COMMENTS
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The triples are sorted first according to their sum, then by the value of k, then by the value of j.
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LINKS
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EXAMPLE
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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
...
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MAPLE
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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:
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CROSSREFS
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Cf. A057556 (each triple reversed).
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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