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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; 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 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

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