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A274185
Irregular triangular array having n-th row g(n) defined in Comments.
2
0, 1, 2, 0, 3, 1, 4, 2, 1, 0, 5, 3, 2, 1, 0, 6, 4, 3, 2, 1, 2, 1, 0, 7, 5, 4, 3, 2, 3, 2, 1, 1, 0, 0, 8, 6, 5, 4, 3, 4, 3, 2, 2, 1, 1, 3, 2, 1, 1, 0, 0, 9, 7, 6, 5, 4, 5, 4, 3, 3, 2, 2, 4, 3, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 10, 8, 7, 6, 5, 6, 5, 4, 4, 3
OFFSET
0,3
COMMENTS
Let g(0) = (0) and for n > 0, define g(n) inductively to be the concatenation of g(n-1) and the numbers (k-1)/2 as k ranges through the odd numbers k in g(n-1). Every nonnegative integer appears infinitely many times. For the limiting ratio of lengths of consecutive rows, see A274192.
EXAMPLE
First seven rows:
0
1
2 0
3 1
4 2 1 0
5 3 2 1 0
6 4 3 2 1 2 1 0
MATHEMATICA
g[0] = {0}; z = 14; g[n_] := g[n] = Join[g[n - 1] + 1, (1/2) (Select[g[n - 1], IntegerQ[(# - 1)/2] &] - 1)]; Flatten[Table[g[n], {n, 0, z}]]
CROSSREFS
Cf. A274142 (row lengths), A274192, A274183.
Sequence in context: A025644 A022332 A215589 * A161162 A211000 A025636
KEYWORD
nonn,tabf,easy,base
AUTHOR
Clark Kimberling, Jun 13 2016
STATUS
approved