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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 (list; graph; refs; listen; history; text; internal format)
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.

LINKS

Table of n, a(n) for n=0..85.

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

Adjacent sequences:  A274182 A274183 A274184 * A274186 A274187 A274188

KEYWORD

nonn,tabf,easy,base

AUTHOR

Clark Kimberling, Jun 13 2016

STATUS

approved

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Last modified August 9 09:22 EDT 2022. Contains 356021 sequences. (Running on oeis4.)