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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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..83.

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:

1,

0, 1

For i=2 slice 2 lists:

2,

2, 3,

0, 1, 2

For i=3 Slice 3 lists:

3,

4, 5,

3, 4, 5,

0, 1, 2, 3

For i=4 slice 4 lists:

4,

6, 7,

6, 7, 8,

4, 5, 6, 7,

0, 1, 2, 3, 4

For i=5 slice 5 lists:

5,

8, 9,

9, 10, 11,

8, 9, 10, 11,

5, 6, 7, 8, 9,

0, 1, 2, 3, 4, 5

And so on.

Also, if is written as a triangle 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

Cf. A144626.

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.

Sequence in context: A139365 A071479 A257398 * A231728 A303545 A306191

Adjacent sequences:  A182628 A182629 A182630 * A182632 A182633 A182634

KEYWORD

nonn,tabl

AUTHOR

Omar E. Pol, Dec 06 2010

STATUS

approved

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Last modified September 17 16:32 EDT 2021. Contains 347487 sequences. (Running on oeis4.)