A368179 Square array read by ascending antidiagonals: row n is the trajectory of n under the A006368 map.
0, 1, 0, 2, 1, 0, 3, 3, 1, 0, 4, 2, 2, 1, 0, 5, 6, 3, 3, 1, 0, 6, 4, 9, 2, 2, 1, 0, 7, 9, 6, 7, 3, 3, 1, 0, 8, 5, 7, 9, 5, 2, 2, 1, 0, 9, 12, 4, 5, 7, 4, 3, 3, 1, 0, 10, 7, 18, 6, 4, 5, 6, 2, 2, 1, 0, 11, 15, 5, 27, 9, 6, 4, 9, 3, 3, 1, 0, 12, 8, 11, 4, 20, 7, 9, 6, 7, 2, 2, 1, 0
Offset: 0
Examples
Array begins:
[ 0] 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... = A000004
[ 1] 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ... = A000012
[ 2] 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, ... = A010693
[ 3] 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, ... = A176059
[ 4] 4, 6, 9, 7, 5, 4, 6, 9, 7, 5, 4, ... = A180853
[ 5] 5, 4, 6, 9, 7, 5, 4, 6, 9, 7, 5, ... = A180853 (shifted)
[ 6] 6, 9, 7, 5, 4, 6, 9, 7, 5, 4, 6, ... = A180853 (shifted)
[ 7] 7, 5, 4, 6, 9, 7, 5, 4, 6, 9, 7, ... = A180853 (shifted)
[ 8] 8, 12, 18, 27, 20, 30, 45, 34, 51, 38, 57, ... = A028393
[ 9] 9, 7, 5, 4, 6, 9, 7, 5, 4, 6, 9, ... = A180853 (shifted)
[10] 10, 15, 11, 8, 12, 18, 27, 20, 30, 45, 34, ... = A180864 (shifted)
... | | |
A001477|A168221
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A006368
Links
- Paolo Xausa, Table of n, a(n) for n = 0..11324 (antidiagonals 1..150 of the array, flattened).
- Index entries for sequences related to 3x+1 (or Collatz) problem