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.

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

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 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

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,tabf

Author

Omar E. Pol, Dec 06 2010

Status

approved