A368227 Square array read by ascending antidiagonals: row n is the trajectory of n under the A006369 map.
0, 1, 0, 2, 1, 0, 3, 3, 1, 0, 4, 2, 2, 1, 0, 5, 5, 3, 3, 1, 0, 6, 7, 7, 2, 2, 1, 0, 7, 4, 9, 9, 3, 3, 1, 0, 8, 9, 5, 6, 6, 2, 2, 1, 0, 9, 11, 6, 7, 4, 4, 3, 3, 1, 0, 10, 6, 15, 4, 9, 5, 5, 2, 2, 1, 0, 11, 13, 4, 10, 5, 6, 7, 7, 3, 3, 1, 0, 12, 15, 17, 5, 13, 7, 4, 9, 9, 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, 5, 7, 9, 6, 4, 5, 7, 9, 6, 4, ... = A094328
[ 5] 5, 7, 9, 6, 4, 5, 7, 9, 6, 4, 5, ... = A094328 (shifted)
[ 6] 6, 4, 5, 7, 9, 6, 4, 5, 7, 9, 6, ... = A094328 (shifted)
[ 7] 7, 9, 6, 4, 5, 7, 9, 6, 4, 5, 7, ... = A094328 (shifted)
[ 8] 8, 11, 15, 10, 13, 17, 23, 31, 41, 55, 73, ... = A028394
[ 9] 9, 6, 4, 5, 7, 9, 6, 4, 5, 7, 9, ... = A094328 (shifted)
[10] 10, 13, 17, 23, 31, 41, 55, 73, 97, 129, 86, ... = A028394 (shifted)
... | | |
A001477|A168222
A006369
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