

A182631


Tetrahedron in which T(i,j,k) is the next number congruent to k mod j of the level j in the slice i, with 0 <= i, 1 <= j, 0 <= k < j.


6



0, 1, 0, 1, 2, 2, 3, 0, 1, 2, 3, 4, 5, 3, 4, 5, 0, 1, 2, 3, 4, 6, 7, 6, 7, 8, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 8, 9, 9, 10, 11, 8, 9, 10, 11, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 12, 13, 14, 15, 10, 11, 12, 13, 14, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6
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OFFSET

0,5


LINKS



EXAMPLE

Tetrahedron begins:
For i=0, j=1, k=0, T(0,1,0)=0 represents the first vertex of the tetrahedron.
For i=1, slice 1 lists the terms
1;
0, 1.
For i=2, slice 2 lists the terms
2;
2, 3;
0, 1, 2.
For i=3, slice 3 lists the terms
3;
4, 5;
3, 4, 5;
0, 1, 2, 3.
For i=4, slice 4 lists the terms
4;
6, 7;
6, 7, 8;
4, 5, 6, 7;
0, 1, 2, 3, 4.
For i=5, slice 5 lists the terms
5;
8, 9;
9, 10, 11;
8, 9, 10, 11;
5, 6, 7, 8, 9;
0, 1, 2, 3, 4, 5.
And so on.
If the sequence is written as a triangle, it begins:
0,
1, 0, 1,
2, 2, 3, 0, 1, 2,
3, 4, 5, 3, 4, 5, 0, 1, 2, 3,
4, 6, 7, 6, 7, 8, 4, 5, 6, 7, 0, 1, 2, 3, 4;
...


CROSSREFS

Level j=1 column k=0 of tetrahedron = column 1 of triangle gives A001477.
Level j=2 column k=0 of tetrahedron = column 2 of triangle gives A005843.
Level j=2 column k=1 of tetrahedron = column 3 of triangle gives A005408.
Level j=3 column k=0 of tetrahedron = column 4 of triangle gives A008585.
Level j=3 column k=1 of tetrahedron = column 5 of triangle gives A016777.
Level j=3 column k=2 of tetrahedron = column 6 of triangle gives A016789.
And so on.


KEYWORD

nonn,tabf


AUTHOR



STATUS

approved



