OFFSET
0,4
COMMENTS
Row n is row 2n+1 of A128138, a bisection.
The second bisection by rows
0, 2,
0, 1, 2, 4,
0, 1, 2, 3, 4, 6,
0, 1, 2, 3, 4, 5, 6, 8,
etc
is the basis of
0, 2, 4, 6, 8, 10, 12, ... the even numbers A005843(n)
0, 1, 2, 4, 3, 6, 8, 5, 10, ... a permutation of the nonnegative integers A265667(n).
0, 1, 2, 3, 4, 6, 5, 8, 7, 10, 12, ... a permutation of the nonnegative integers A265734(n)
etc.
See A267654.
For
1, 3, 5, 7, 9, 11, 13 ... the odd numbers A005408(n),
0, 1, 3, 2, 5, 7, 4, 9, 11, ... a permutation of the nonnegative numbers A006369,
0, 1, 2, 3, 5, 4, 7, 6, 9, 11, 8, 13, 10, 15, ... another permutation,
a(n) must be extended with one term by row:
1, 3,
0, 1, 3, 2,
0, 1, 2, 3, 5, 4,
EXAMPLE
Irregular triangle:
1,
0, 1, 3,
0, 1, 2, 3, 5,
0, 1, 2, 3, 4, 5, 7,
0, 1, 2, 3, 4, 5, 6, 7, 9,
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11,
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13,
etc.
MATHEMATICA
Table[Delete[Range[0, 2 n + 1], 2 n + 1], {n, 0, 8}] // Flatten (* Michael De Vlieger, Apr 25 2016 *)
CROSSREFS
KEYWORD
nonn,tabf,easy
AUTHOR
Paul Curtz, Apr 22 2016
STATUS
approved