The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Dec 06 2010
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 30 15:08 EDT 2024. Contains 372968 sequences. (Running on oeis4.)